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http://dx.doi.org/10.4134/CKMS.2014.29.1.051

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

Hua, Ju (College of Mathematics Inner Mongolia University for Nationalities, Erenhot International College Inner Mongolia Normal University)
Xi, Bo-Yan (College of Mathematics Inner Mongolia University for Nationalities)
Qi, Feng (Department of Mathematics College of Science Tianjin Polytechnic University)
Publication Information
Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 51-63 More about this Journal
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;
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