Operator (p, η)-Convexity and Some Classical Inequalities

Chuanjun Zhang, Muhammad Shoaib Saleem, Waqas Nazeer, Naqash Shoukat, Yongsheng Rao and Efthymios G. Tsionas

Journal of Mathematics, 2020, vol. 2020, 1-7

Abstract: In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1235842

DOI: 10.1155/2020/1235842

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