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Ana Vukelić
(239722)

 
 
 
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  Author's books
 

1. Franjić, Iva; Pečarić, Josip; Perić, Ivan; Vukelić, Ana.
Euler integral identity, quadrature formulae and error estimations .
Zagreb : Element, 2011 (monograph).
Vrh
 
  Book chapters
 

1. Pečarić, Josip; Vukelić, Ana.
Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions // Function Equations, Inequalities and Applications / Rassias, Themistocles M., editor(s).
Dordrecht : Kluwer Academic Publishers, 2003. Str. 224.
Vrh
 
  Journal articles and review articles in CC journals
 

1. Saad Ihsan Butt; Pečarić, Josip; Vukelić, Ana.
Generalization of Popoviciu-Type Inequalities Via Fink’s Identity. // Mediterranean journal of mathematics. 13 (2016) , 4; 1495-1511 (journal article). URL link to workURL link to work

2. Aras-Gazić, Gorana; Čuljak, Vera; Pečarić, Josip; Vukelić, Ana.
Cauchy's error representation of Lidstone interpolating polynomial and related results. // Journal of mathematical inequalities. 9 (2015) , 4; 1207-1225 (journal article). URL link to workURL link to work

3. Awan, K.M.; Pečarić, Josip; Vukelić, Ana.
Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula. // Journal of Mathematical Inequalities. 9 (2015) , 1; 297-319 (journal article). URL link to workURL link to work

4. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
New estimations of the remainder in three-point quadrature formulae of Euler type. // Journal of mathematical inequalities. 9 (2015) , 4; 1143-1156 (journal article). URL link to workURL link to work

5. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Some Grüss type inequalities and corrected three-point quadrature formulae of Euler type. // Journal of inequalities and applications. 2015 (2015) ; (journal article). URL link to workURL link to work

6. Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Bounds for the Chebyshev functional and applications to the weighted integral formulae. // Applied mathematics and computation. 268 (2015) ; 957-965 (journal article). URL link to workURL link to work

7. Pečarić, Josip; Vukelić, Ana.
Some inequalities for the Čebyšev functional and Euler two-point formulae. // Journal of mathematical inequalities. 9 (2015) , 4; 1195-1205 (journal article). URL link to workURL link to work

8. Pavić, Zlatko; Pečarić, Josip; Vukelić, Ana.
Means for divided differences and exponential convexity. // Mediterranean Journal of Mathematics. 9 (2012) , 1; 187-198 (journal article). URL link to workURL link to work

9. Weston, Andrew J.; ...; Iglić, Katrina; Vukelić, Ana; Starčević, Antonio; ...; Long, F Paul.
A profile of an endosymbiont-enriched fraction of the coral Stylophora pistillata reveals proteins relevant to microbial-host interactions. // Molecular & cellular proteomics. 11 (2012) ; NIL_477-NIL-495 (journal article). prilozen text radaURL link to workURL link to work

10. Pavić, Zlatko; Pečarić, Josip; Vukelić, Ana.
Exponential convexity and Jensen inequality for divided differences. // Journal of Mathematical Ineqialities. 5 (2011) , 2; 157-168 (journal article). URL link to workURL link to work

11. Starčević, Antonio; Diminić, Janko; Žučko, Jurica; Elbekali, Mouhsine; Schlosser, Tobias; Lisfi, Mohamed; Vukelić, Ana; Long, F Paul; Hranueli, Daslav; Cullum, John.
A novel docking domain interface model that can predict recombination between homoeologous modular biosynthetic gene clusters. // Journal of industrial microbiology & biotechnology. 38 (2011) , 9; 1295-1304 (journal article). URL link to workURL link to work

12. Kovač, Sanja; Pečarić, Josip; Vukelić, Ana.
A generalization of general two-point formula with applications in numerical integration. // Nonlinear Analysis. 68 (2008) , 8; 2445-2463 (journal article). URL link to workURL link to work

13. Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Euler's method for weighted integral formulae. // Applied mathematics and computation. 206 (2008) , 1; 445-456 (journal article). URL link to workURL link to work

14. Pečarić, Josip; Vukelić, Ana.
Montgomery's identities for function of two variables. // Journal of mathematical analysis and applications. 332 (2007) , 1; 617-630 (journal article). URL link to workURL link to work

15. Pečarić, Josip; Vukelić, Ana.
Milovanović-Pečarić-Fink inequality for difference of two integral means. // Taiwanese journal of mathematics. 10 (2006) , 4; 933-947 (journal article).

16. Aglić Aljinović, Andrea; Pečarić, Josip; Vukelić, Ana.
The extension of Montgomery identity via Fink identity with applications. // Journal of inequalities and applications. 2005 (2005) , 1; 67-80 (journal article).

17. Matić, Marko; Pečarić, Josip; Vukelić, Ana.
On generalization of Bullen-Simpson's inequality. // The Rocky Mountain journal of mathematics. 35 (2005) , 5; 1727-1754 (journal article). URL link to work

18. Matić, Marko; Pečarić, Josip; Vukelić, Ana.
Generalization of Bullen-Simpson's 3/8 inequality. // Mathematical and Computer modelling. 41 (2005) ; 463-483 (journal article).

19. Pečarić, Josip; Perić, Ivan; Vukelić, Ana.
Sharp integral inequalities based on General Euler two-point formulae. // The Australian & New Zeland Industrial and Applied Mathematics Journal. 46 (2005) ; 555-574 (journal article).

20. Dedić, Ljuban; Matić, Marko; Pečarić, Josip; Vukelić, Ana.
On generalizations of Ostrowski inequality via Euler harmonic identities. // Journal of Inequalities and Applications. 7 (2002) , 6; 787-805 (journal article).
Vrh
 
  Scientific papers in other journals
 

1. Pečarić, Josip; Perušić Pribanić, Anamarija; Vukelić, Ana.
Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results. // Quaestiones Mathematicae. 2018 (2019) ; 1-15 (journal article). URL link to work

2. Khalid, Sadia; Pečarić, Josip; Vukelić, Ana.
Refinements of the majorization-type inequalities via Green and Fink identities and related results. // Mathematica Slovaca. 68 (2018) , 4; 773-788 (journal article). URL link to work

3. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem. // Journal of numerical analysis and approximation theory. 46 (2017) , 1; 6-24 (journal article).

4. Agarwal, Ravi P.; Butt, Saad Ihsan, Pečarić, Josip; Vukelić, Ana.
Generalization Of Popoviciu type inequalities via Green's function and Fink's identity. // Mathematical inequalities & applications. 19 (2016) , 4; 1247-1256 (journal article).

5. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem. // Advanes in Mathematis: Scientific Journal. 5 (2016) , 2; 191-209 (journal article).

6. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Cauchy’s error representation of Hermite interpolating polynomial and related results. // Mathematical inequalities & applications. 19 (2016) , 4; 1349-1362 (journal article).

7. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae. // Mathematical Modelling and Analysis. 21 (2016) ; 836-851 (journal article). URL link to work

8. Aras-Gazić, Gorana; Čuljak, Vera; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Hermite polynomials and related results. // Mathematical reports. 17 (2015) , 2; 201-223 (journal article).

9. Khalid, S; Pečarić, J; Vukelić, A.
Refinements of the majorization theorems via Fink identity and related results. // Journal of Classical Analysis. 7 (2015) , 2; 129-154 (journal article). URL link to work

10. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Euler's identity and related results. // Advanced Studies in Contemprorary Mathematics. 24 (2014) , 2; 247-268 (journal article).

11. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type. // Matematički bilten. 38 (2014) , 2; 69-80 (journal article).

12. Pečarić, Josip; Perušić, Anamarija; Vukelić, Ana.
Generalisations of Steffensen's inequality via Fink identity and related results. // Advances in Inequalities and Applications. 2014 (2014) ; 9-1-9-18 (journal article). URL link to work

13. Pečarić, Josip; Perušić, Anamarija; Vukelić, Ana.
Generalisations of Steffensen's inequality via Fink identity and related results II. // Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 47 (2014) ; 221-239 (journal article). URL link to work

14. Aras-Gazić, Gorana; Čuljak, Vera; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Lidstone's polynomial and related results. // Mathematical inequalities & applications. 16 (2013) , 4; 1243-1267 (journal article).

15. Roqia, Gulam; Pečarić, Josip; Vukelić, Ana.
n-exponential convexity of divided differences and related Stolarsky type means. // Mathematical inequalities & applications. 16 (2013) , 4; 1043-1063 (journal article).

16. Vukelić, Ana.
n-exponential convexity for Levinson type inequalities and related Stolarsky type means. // Matematički bilten. 37 (2013) , 1; 25-38 (journal article).

17. Pavić, Zlatko; Pečarić, Josip; Vukelić, Ana.
Exponential convexity for divided differences related to Hermite-Hadamard inequalities. // Asian-European Journal of Mathematics. 5 (2012) , 4; 1250056-1-1250056-16 (journal article). URL link to workURL link to work

18. Dedić, Ljuban; Matić, Marko; Pečarić, Josip; Vukelić, Ana.
On Euler-Simpson 3/8 formulae. // Nonlinear Studies. 18 (2011) , 1; 1-26 (journal article).

19. Vukelić, Ana.
Estimations of the error for general Simpson type formulae via pre-Grüss inequality. // Journal of mathematical inequalities. 3 (2009) , 4; 559-566 (journal article). URL link to workURL link to work

20. Pečarić, Josip; Vukelić, Ana.
General dual Euler-Simpson formula. // Journal of mathematical inequalities. 2 (2008) , 4; 511-526 (journal article).

21. Kovač, Sanja; Pečarić, Josip; Vukelić, Ana.
Weighted generalization of the trapezoidal rule via Fink identity. // The Australian Journal of Mathematical Analysis and Applications. 4 (2007) , 1/8; 1-12 (journal article).

22. Pečarić, Josip; Vukelić, Ana.
An m-dimensional version of difference of two integral means for mappings of the Hölder type. // Journal of applied functional analysis. 1 (2006) , 2; 203-221 (journal article).

23. Aglić Aljinović, Andrea; Pečarić, Josip; Vukelić, Ana.
On some Ostrowski type inequalities via Montgomery identity and Taylor's formula II. // Tamkang Journal of Mathematics. 36 (2005) , 4; 279-301 (journal article).

24. Franjić, Iva; Pečarić, Josip; Vukelić, Ana.
General Euler-Simpson formulae. // Indian journal of mathematics. 47 (2005) , 2-3; 139-157 (journal article).

25. Klaričić Bakula, Milica; Pečarić, Josip; Vukelić, Ana.
Integration of periodic function and applications on integration formulae. // Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie. 48(96) (2005) , 3; 261-275 (journal article).

26. Pečarić, Josip; Vukelić, Ana.
Hadamard and Dragomir-Agarwal inequalities, the general Euler two point formulae and convex functions. // Rad Hrvatske akademije znanosti i umjetnosti, matematičke znanosti. 15 (2005) ; 139-151 (journal article).

27. Pečarić, Josip; Vukelić, Ana.
Estimations of the error for two-point formula via pre-Grüss inequality. // General Mathematics. 13 (2005) , 2; 95-104 (journal article).

28. Vukelić, Ana.
Note on Dragomir-Agarwal inequalities, the general Euler two-point formulae and convex functions. // Journal of inequalities in pure and applied mathematics. 6 (2005) , 1; Article 19 (journal article).

29. Pečarić, Josip; Perić, Ivan; Vukelić, Ana.
On Euler-Boole formulae. // Mathematical Inequalities & Applications. 7 (2004) , 1; 27-46 (journal article).

30. Pečarić, Josip; Perić, Ivan; Vukelić, Ana.
Estimations of the difference of two integral means via Euler-type identities. // Mathematical Inequalities & Applications. 7 (2004) , 3; 365-378 (journal article).

31. Pečarić, Josip; Vukelić, Ana.
On generalizations of Dragomir-Agarwal inequality via some Euler-type identities. // Matematički Bilten. 26 (2002) , LII; 17-42 (journal article).

32. Dedić, Ljuban; Matić, Marko; Pečarić, Josip; Vukelić, Ana.
Hadamard type inequalities via some Euler type identities - Euler bitrapezoid formulae. // Nonlinear studies. 8 (2001) , 3; 343-372 (journal article).
Vrh
 
  Conference reports (abstracts) in other journals
 

1. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Some inequalities for the Čebyšev functional and general four-point quadrature formulae of Euler type // V Congress of Mathematicians of Macedonia / Vesna Celakoska-Jordanova, editor(s).
Skopje : Union of Mathematicians of Macedonia, 2014. 87-87 (lecture,abstract,scientific). URL link to work
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  Scientific conference papers with international peer-review
 

1. Vukelić, Ana.
Stationary Stokes system for quasi-Newtonian fluids // Proceedings of the 23rd International Conference on INFORMATION TECHNOLOGY INTERFACES / Kalpić, Damir; Hljuz Dobrić, Vesna, editor(s).
Zagreb, 2001. 433-438 (lecture,international peer-review,published,scientific).
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  Abstracts in Book of abstracts
 

1. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Interpolating polynomials and derived inequalities for convex functions // Mathematical Inequalities and Applications 2018, Book of Abstracts.
18-18 (lecture,international peer-review,abstract,scientific).

2. Butt, Saad Ihsan; Pečarić, Josip; Vukelić, Ana.
Generalization of Popoviciu type inequalities via Fink's identity // International Conference Algebra and Analysis with Application / Jolevska-Tuneska, Biljana, editor(s).
Skopje : Sojuz na istražuvači na Makedonija, 2018. 20-20 (lecture,international peer-review,abstract,scientific).

3. Khalid, Sadia; Pečarić, Josip; Vukelić, Ana.
Refeniments of the majorization-type inequalities via Green and Fink identities and related results // Mathematical Inequalities and applications 2018 / Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna, editor(s).
Zagreb : Element, 2018. 74-74 (lecture,international peer-review,abstract,scientific).

4. Vukelić, Ana.
On Levinson's inequality involving averages of 3- convex functions // MICOPAM 2018 / Simsek, Yilmaz, editor(s).
Antalya-Turkey : Akdeniz University, 2018. 64-64 (invited talk,abstract,scientific).

5. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Euler's identity and related results // 6th Croatian Mathematical Congress.
Zagreb, 2016. 3-4 (poster,international peer-review,abstract,scientific).

6. Klaričić Bakula, Milica; Pečarić, Josip; Ribičić Penava, Mihaela; Vukelić, Ana.
Some Gr\"uss type inequalities and corrected three-point quadrature formulae of Euler type // International Conference Mathematics: Applied / Biljana Jolevska-Tuneska, editor(s).
Ohrid : Sojuz na istražuvači na Makedonija, 2016. 20-20 (lecture,abstract,scientific).

7. Aras-Gazić, Gorana; Čuljak, Vera; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's Inequality and its Converses by Lidstone's Polynomial and Majorization Theorem // Applied Mathematics & Approximation Theory - AMAT 2015 / Anastassiou, George A ; Duman, Oktay, editor(s).
Ankara : TOBB University of Economics and Technology, 2015. 39-39 (lecture,international peer-review,abstract,scientific).

8. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Hermite interpolating polynomial and derived inequalities for the higher order convex function // 11-th International Symposium on Geometric Function Theory and Applications / Tuneski, Nikola, editor(s).
Skopje : Ss. Cyril and Methodius University in Skopje, 2015. 54-54 (invited talk,abstract,scientific).

9. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem // Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja, editor(s).
Mostar : Faculty of Science and Education, University of Mostar, 2015. 21-21 (lecture,international peer-review,abstract,scientific).

10. Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities // Mathematical inequalities and application 2015 (MIA 2015) / Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja, editor(s).
Mostar : Faculty of Science and Education, University of Mostar, Bosnia and Herzegovina, 2015. 75-75 (lecture,international peer-review,abstract).

11. Čuljak, Vera; Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results // Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja, editor(s).
Mostar : Faculty of Science and Education, University of Mostar, 2015. 32-32 (lecture,international peer-review,abstract,scientific).

12. Pečarić, Josip; Ribičić Penava Mihaela; Vukelić, Ana.
Bounds for the Chebyshev Functional and Applications to the Weighted Integral Formulae // Applied Mathematics & Approximation Theory - AMAT 2015 / Anastassiou, George A ; Duman, Oktay, editor(s).
Ankara : TOBB University of Economics and Technology, 2015. 16-16 (lecture,abstract,scientific).

13. Aras-Gazić, Gorana; Čuljak, Vera; Pečarić, Josip; Vukelić, Ana.
Cauchy's error representation of Lidstone interpolating polynomial and related results // Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja, editor(s).
Zagreb : Element, 2014. 23-23 (lecture,international peer-review,abstract,scientific).

14. Čuljak, Vera; Aras-gazić, Gorana; Pečarić, Josip; Vukelić, Ana.
Generalization of Jensen's inequality by Hermite polynomials and related results // Conference on inequalities and applications’14 : Book of Abstracts / Páles, Zolt, editor(s).
Debrecen : Institut of Mathematics University of Debrecen, 2014. 7-7 (invited talk,international peer-review,abstract,scientific).

15. Vukelić, Ana; Pečarić, Josip.
Some inequalities for the Čebyšev functional and Euler two-point formulae // Mathematical Inequalities and Applications 2014, One Thousand Papers Conference / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja, editor(s).
Zagreb : Element, 2014. 72-72 (invited talk,international peer-review,abstract,scientific).

16. Pečarić, Josip; Vukelić, Ana.
Montgomery's identities for function of two variables // Book of Abstracts 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina. Sanja, editor(s).
Rijeka : Fintrade&Tours d.o.o., 2012. 66-66 (lecture,international peer-review,abstract,scientific).

17. Roqia, Ghulam; Pečarić, Josip; Vukelić, Ana.
n-exponential convexity of divided differences and related stolarsky type Means // Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012 / Yeol Je Cho, editor(s).
Jinju, Koreja : Gyeongsang National University, 2012. 93-93 (invited talk,international peer-review,abstract,scientific).

18. Vukelić, Ana.
Means for divided differences and exponential convexity // Mathematical inequalities and applications 2010 / Atiq ur Rehman, editor(s).
Lahore, Pakistan : Abdus Salam School of Mathematical Sciences, 2010. 13-13 (invited talk,abstract,scientific).

19. Pečarić, Josip; Vukelić, Ana.
Harmonic polynomials and generalizations of Ostrowski inequality // Mathematical Conference: 85 Years of Professor Blagoj Popov Life - Book of abstracts / Vesna Celakoska - Jordanova, editor(s).
Skopje : Institute of Mathematics and Institute of Informatics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University, Skopje, Macedonia, 2008. 24-24 (lecture,abstract,scientific).

20. Vukelić, Ana.
General Euler-Simpson type formulae and estimations of the error via pre-Grüss inequality // Mathematical Inequalities and Applications 2008 / Čižmešija, Aleksandra ; Varošanec, Sanja, editor(s).
Zagreb : Element, 2008. 142-142 (lecture,abstract,scientific).

21. Vukelić, Ana.
Finding regions of exact identity between two DNA sequences // Book of Abstracts - KDSA 2008, Workshop on Knowledge Discovery in Scientific Applications / Gamberger, Dragan, editor(s).
Zagreb : IRB, 2008. (lecture,abstract,scientific).

22. Kovač, Sanja; Pečarić, Josip; Vukelić, Ana.
General Two-point Quadrature Formulae // .
(lecture,abstract,scientific).

23. Pečarić, Josip; Vukelić, Ana.
General Euler two-point formulae and related inequalities // Third International Conference of Applied Mathematics / Bainov, Drumi ; Nenov Svetoslav, editor(s).
Plovdiv, Bulgaria, 2006. 216 (lecture,abstract,scientific).

24. Pečarić, Josip; Vukelić, Ana.
Milovanovič-Pečarić-Fink inequality for difference of two integral means // Treći hrvatski matematički kongres / Uglešić, Nikica, editor(s).
Split : Hrvatsko matematičko društvo, 2004. 58-59 (lecture,international peer-review,abstract,scientific).
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  Dissertations
 

1. Vukelić, Ana.
Generalizations of Euler's integral formula and related inequalities / doctoral thesis.
Zagreb : Prirodoslovno-matematički fakultet - Matematički odjel, 02.06. 2003., 119 pages. Mentor: Pečarić, Josip.
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  Master thesis
 

1. Vukelić, Ana.
Boundary and mixed problems for quasi-Newtonian fluids / pre-Bologna master thesis.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odjel, 17.07. 2000., 64 pages. Mentor: Marušić-Paloka, Eduard.prilozen text rada
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  Mentoring
 

1. Aras-Gazić, Gorana.
Interpolation polynomials and derived inequalities for the higher order convex functions / doctoral thesis.
Zagreb : PMF, 01.03. 2016, 127 pages. Mentor: Vukelić, Ana.

2. Kovač, Sanja.
Generalization of classic quadrature formulas and related inequalities / doctoral thesis.
Zagreb : Prirodoslovno-matematički fakultet - Matematički odjel, 27.02. 2008, 139 pages. Mentor: Vukelić, Ana.
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