Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex FunctionsReport as inadecuate




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Journal of Mathematics - Volume 2014 2014, Article ID 346305, 10 pages -

Research ArticleDepartment of Mathematics, Faculty of Arts and Sciences, Giresun University, 28100 Giresun, Turkey

Received 27 January 2014; Accepted 4 June 2014; Published 19 June 2014

Academic Editor: Roberto A. Kraenkel

Copyright © 2014 İmdat İşcan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new generalinequalities 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.





Author: İmdat İşcan

Source: https://www.hindawi.com/



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