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:
Online Access:https://www.aimspress.com/article/10.3934/math.2020446/fulltext.html
Description
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