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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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
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Abstract 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.
AbstractList 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.
Author Feng, Baoli
Ghafoor, Mamoona
Qiao, Xing
Ming Chu, Yu
Feng, Xue
Yao, Chuang
Imran Qureshi, Muhammad
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10.1186/s13660-019-2265-6
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6 Aviation University Air Force, Changchun City, 1300000, Chinan
2 Department of Mathematics, University of Okara, Okara Pakistan
Changsha University of Science & Technology, Changsha 410114, P. R. China
3 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China
8 Department of Mathematics, Daqing Normal University, Daqing City, 163712, China
4 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
1 Mudanjiang Normal University, Mudanjiang City, 157011, China
5 Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari Pakistan
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StartPage 6959
SubjectTerms fejér type inequalities
hermite-hadamard inequality
jensen’s type inequalities
modified h-convex function
p-convex function
Title Hermite-Hadamard and Jensen’s type inequalities for modified (p, h)-convex functions
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