ON SOME INTEGRAL INEQUALITIES FOR -CONVEX FUNCTIONS

A new identity has been handled in this paper. It allows to derive new inequalities referring to upper estimation of the Jensen functional in the class of (s,m)-convex functions. Also some applications for special means are given by using new inequalities. Keywords: Convex function, (s, m)-convex, H...

Full description

Saved in:
Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 2; p. 288
Main Authors Bayraktar, B, Gurbuz, M
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.04.2020
Subjects
Convex functions
Inequalities (Mathematics)
Mathematical research
Turkey
Online AccessGet full text

Cover

More Information
Summary:A new identity has been handled in this paper. It allows to derive new inequalities referring to upper estimation of the Jensen functional in the class of (s,m)-convex functions. Also some applications for special means are given by using new inequalities. Keywords: Convex function, (s, m)-convex, Hermite-Hadamard inequalitiy, Holder inequality, power mean inequality. AMS Subject Classification: 26A51, 26D15
ISSN:2146-1147