Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions-Reference-Cited by-同舟云学术

Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

İşcan İmdat¹

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Giresun University, 28100 Giresun, Turkey

Abstract

A new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like types for functions whose derivatives in absolute value at certain power are harmonically convex. Some applications to special means of real numbers are also given.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2014/346305.pdf

Reference9 articles.

1. RGMIA Monographs,2000

2. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

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