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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Vydáno v:AIMS mathematics Ročník 5; číslo 6; s. 6959 - 6971
Hlavní autoři: Feng, Baoli, Ghafoor, Mamoona, Ming Chu, Yu, Imran Qureshi, Muhammad, Feng, Xue, Yao, Chuang, Qiao, Xing
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2020
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ISSN:2473-6988, 2473-6988
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Shrnutí: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