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

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Listed:
  • Chuanjun Zhang
  • Muhammad Shoaib Saleem
  • Waqas Nazeer
  • Naqash Shoukat
  • Yongsheng Rao
  • Efthymios G. Tsionas

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.

Suggested Citation

  • Chuanjun Zhang & Muhammad Shoaib Saleem & Waqas Nazeer & Naqash Shoukat & Yongsheng Rao & Efthymios G. Tsionas, 2020. "Operator (p, η)-Convexity and Some Classical Inequalities," Journal of Mathematics, Hindawi, vol. 2020, pages 1-7, July.
    • Handle: RePEc:hin:jjmath:1235842
    DOI: 10.1155/2020/1235842
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