Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions

Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions

In this study, we will derive the conception of modified (<em>p, h</em>)-convex functions which will unify <em>p</em>-convexity with modified <em>h</em>-convexity. We will investigate the fundamental properties of modified (<em>p, h</em>)-convexity. Fu...

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Bibliographic Details
Main Authors:	Baoli Feng, Mamoona Ghafoor, Yu Ming Chu, Muhammad Imran Qureshi, Xue Feng, Chuang Yao, Xing Qiao
Format:	Article
Language:	English
Published:	AIMS Press 2020-09-01
Series:	AIMS Mathematics
Subjects:	<i>p</i>-convex function modified <i>h</i>-convex function hermite-hadamard inequality fejér type inequalities jensen’s type inequalities
Online Access:	https://www.aimspress.com/article/10.3934/math.2020446/fulltext.html

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Summary:	In this study, we will derive the conception of modified (<em>p, h</em>)-convex functions which will unify <em>p</em>-convexity with modified <em>h</em>-convexity. We will investigate the fundamental properties of modified (<em>p, h</em>)-convexity. Furthermore, we will derive the Hermite-Hadamard, Fejér and Jensen’s type inequalities for this generalization.
ISSN:	2473-6988