文章基本信息

标题：On n -polynomial p -convex functions and some related inequalities
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作者：Choonkil Park ; Yu-Ming Chu ; Muhammad Shoaib Saleem 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-12
DOI：10.1186/s13662-020-03123-9
出版社：Hindawi Publishing Corporation
摘要：In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization. Moreover, we establish some refinements of Hermite–Hadamard type inequalities for this new class.
关键词：Convex function ; p -convex function ; n -polynomial convexity ; n -polynomial p -convex functions ; Hermite–Hadamard type inequality