Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions

Authors

Mevlüt Tunç ¹

Ebru Yüksel ²

¹ Department of Mathematics, Faculty of Science and Arts, Mustafa Kemal University, Hatay, 31000, Turkey.

² Department of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙ C¸ ec¸en University, Agrı, 04000, Turkey.˘

10.22034/kjm.2015.12291

Abstract

In this paper, the authors establish some Hermite-Hadamard type inequalities by using elementary inequalities for functions whose first derivative absolute values are α-, m-, (α, m)-logarithmically convex  

Keywords

α-, m-

(α,m)-logarithmically convex, Hadamard's inequality,Hölder's inequality, power mean inequality, Cauchy's inequality

Subjects

• 26 Real functions

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