HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS

- Journal title : Communications of the Korean Mathematical Society
- Volume 29, Issue 1, 2014, pp.51-63
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2014.29.1.051

Title & Authors

HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS

Hua, Ju; Xi, Bo-Yan; Qi, Feng;

Hua, Ju; Xi, Bo-Yan; Qi, Feng;

Abstract

In the paper, several properties of geometric-arithmetically s-convex functions are provided, an integral identity in which the integrands are products of a function and a derivative is found, and then some inequalities of Hermite-Hadamard type for integrals whose integrands are products of a derivative and a function whose derivative is of the geometric-arithmetic s-convexity are established.

Keywords

property;identity;Hermite-Hadamard integral inequality;geometric-arithmetically s-convex function;

Language

English

Cited by

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