Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem (CROSBI ID 629781)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

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 (ur.). Mostar: Faculty of Science and Education, University of Mostar, 2015. str. 21-21

Podaci o odgovornosti

Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana

engleski

Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem

In this paper, using majorization theorems, Hermite's interpolating polynomials and conditions on Green's function we obtain results concerning Jensen's and Jensen- Steffensen's inequalities and their converses in both the integral and the discrete case. We use these generalizations to construct a linear functional and we present mean value theorems and n-exponential convexity which leads to exponential convexity and then log-convexity for these functionals. We give some families of functions which enable us to construct a large families of functions that are exponentially convex and also give Stolarsky type means with their monotonicity.

Majorization ; Green function ; Jensen inequality ; Jensen-Steffensen inequality ; n-convex function ; Hermite interpolating polynomial ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

21-21.

2015.

nije evidentirano

objavljeno

Podaci o matičnoj publikaciji

Book of Abstracts of the conference Mathematical Inequalities and Applications 2015

Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja

Mostar: Faculty of Science and Education, University of Mostar

Podaci o skupu

Conference Mathematical Inequalities and Applications 2015

predavanje

11.11.2015-15.11.2015

Mostar, Bosna i Hercegovina

Povezanost rada

Matematika