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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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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spelling doaj-4dc0c3c978fb40649cd3e5984d6387942020-11-25T02:54:31ZengAIMS PressAIMS Mathematics2473-69882020-09-01566959697110.3934/math.2020446Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functionsBaoli Feng0Mamoona Ghafoor1Yu Ming Chu2Muhammad Imran Qureshi3Xue Feng4Chuang Yao5Xing Qiao61 Mudanjiang Normal University, Mudanjiang City, 157011, China2 Department of Mathematics, University of Okara, Okara Pakistan3 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China 4 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China5 Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari Pakistan6 Aviation University Air Force, Changchun City, 1300000, Chinan7 Heilongjiang bayi agricultural reclamation university Daqing City, 158308, China8 Department of Mathematics, Daqing Normal University, Daqing City, 163712, ChinaIn 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.https://www.aimspress.com/article/10.3934/math.2020446/fulltext.html<i>p</i>-convex functionmodified <i>h</i>-convex functionhermite-hadamard inequalityfejér type inequalitiesjensen’s type inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Baoli Feng
Mamoona Ghafoor
Yu Ming Chu
Muhammad Imran Qureshi
Xue Feng
Chuang Yao
Xing Qiao
spellingShingle Baoli Feng
Mamoona Ghafoor
Yu Ming Chu
Muhammad Imran Qureshi
Xue Feng
Chuang Yao
Xing Qiao
Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
AIMS Mathematics
<i>p</i>-convex function
modified <i>h</i>-convex function
hermite-hadamard inequality
fejér type inequalities
jensen’s type inequalities
author_facet Baoli Feng
Mamoona Ghafoor
Yu Ming Chu
Muhammad Imran Qureshi
Xue Feng
Chuang Yao
Xing Qiao
author_sort Baoli Feng
title Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
title_short Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
title_full Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
title_fullStr Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
title_full_unstemmed Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
title_sort hermite-hadamard and jensen’s type inequalities for modified (<em>p, h</em>)-convex functions
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-09-01
description 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.
topic <i>p</i>-convex function
modified <i>h</i>-convex function
hermite-hadamard inequality
fejér type inequalities
jensen’s type inequalities
url https://www.aimspress.com/article/10.3934/math.2020446/fulltext.html
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AT mamoonaghafoor hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
AT yumingchu hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
AT muhammadimranqureshi hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
AT xuefeng hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
AT chuangyao hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
AT xingqiao hermitehadamardandjensenstypeinequalitiesformodifiedemphemconvexfunctions
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