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Pregled bibliografske jedinice broj: 787293

Časopis

Autori: Matković, Anita; Pečarić, Josip; Perić, Jurica
Naslov: A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k
Izvornik: Journal of Mathematical Inequalities (1846-579X) 9 (2015), 4; 1093-1114
Vrsta rada: članak
Ključne riječi: Jessen-Mercer inequality ; convex functions ; convex hulls ; n-exponential convexity ; Stolarsky type means
Sažetak:
A refinement of the Jessen-Mercer inequality is obtained and shown to be an improvement of the upper bound for the Jessen’s difference. Also a generalization of the Jessen-Mercer inequality for convex functions on convex hulls in R^k is given. An elegant method of producing n- exponentially convex and exponentially convex functions is applied using the Jessen-Mercer differences. Lagrange and Cauchy mean value type theorems are proved and shown to be useful in studying Stolarsky type means defined by using the Jessen-Mercer differences.
Projekt / tema: HRZZ-IP-2013-11-5435
Izvorni jezik: ENG
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Puni text rada: 787293.jmi-09-84-reprint.pdf (tekst priložen 24. Stu. 2015. u 17:32 sati)
URL Internet adrese: http://jmi.ele-math.com/09-84/A-refinement-of-the-Jessen-Mercer-inequality-and-a-generalization-on-convex-hulls-in-R-k
Broj citata:
Altmetric:
DOI: 10.7153/jmi-09-84
URL cjelovitog teksta:
Google Scholar: A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k
Upisao u CROSBI: Jurica Perić (jperic@pmfst.hr), 24. Stu. 2015. u 17:32 sati



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