Generalized integral inequalities for convex functions on the co-ordinates

Saad Ihsan Butt; Artion Kashuri; Muhammad Nadeem

doi:10.32513/tmj/19322008144

Abstract

The aim of this paper is to establish some new inequalities of Hermite-Hadamard and Fejér type using generalized $h-$ convex and generalized $(h_{1},h_{2})$ –convex functions on the co-ordinates. Some known results are recaptured from our results as special cases.

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Saad Ihsan Butt. Artion Kashuri. Muhammad Nadeem. "Generalized integral inequalities for convex functions on the co-ordinates." Tbilisi Math. J. 14 (3) 81 - 94, August 2021. https://doi.org/10.32513/tmj/19322008144

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Received: 12 January 2021; Accepted: 28 March 2021; Published: August 2021

First available in Project Euclid: 3 September 2021

MathSciNet: MR4307900

zbMATH: 1492.26025

Digital Object Identifier: 10.32513/tmj/19322008144

Subjects:

Primary: 26A51‎

Secondary: 26A33 , 26D07 , 26D10 , 26D15

Keywords: coordinated convex function , generalized convex function , Hermite-Hadamard inequality , Hermite-Hadamard-Fejér inequality , Raina’s function

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