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

In this study, we will derive the conception of modified (p, h)-convex functions which will unify p-convexity with modified h-convexity. We will investigate the fundamental properties of modified (p, h)-convexity. Furthermore, we will derive the Hermite-Hadamard, Fejér and Jensen’s type inequalities...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 5; no. 6; pp. 6959 - 6971
Main Authors:	Feng, Baoli, Ghafoor, Mamoona, Ming Chu, Yu, Imran Qureshi, Muhammad, Feng, Xue, Yao, Chuang, Qiao, Xing
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2020
Subjects:	fejér type inequalities hermite-hadamard inequality jensen’s type inequalities modified h-convex function p-convex function
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Summary:	In this study, we will derive the conception of modified (p, h)-convex functions which will unify p-convexity with modified h-convexity. We will investigate the fundamental properties of modified (p, h)-convexity. Furthermore, we will derive the Hermite-Hadamard, Fejér and Jensen’s type inequalities for this generalization.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2020446