Mathematics and Statistics Vol. 3(5), pp. 134 - 140
DOI: 10.13189/ms.2015.030504
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New Integral Inequalities via Harmonically Convex Functions

Imdat Iscan ^1,*, Mustafa Aydin ², Sema Dikmenoglu ^3
1 Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey
² Department of Finance-Banking and Insurance, Alucra Turan Barutcu Vocational School, Giresun University, Alucra-Giresun, Turkey
³ Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey

ABSTRACT

In this paper, we establish some estimates, involving the Euler Beta function and the Hypergeometric function of the integral for the class of functions whose certain powers of the absolute value are harmonically convex.

KEYWORDS
Harmonically Convex Function, Integral Inequality, Hypergeometric Function, Beta Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Imdat Iscan , Mustafa Aydin , Sema Dikmenoglu , "New Integral Inequalities via Harmonically Convex Functions," Mathematics and Statistics, Vol. 3, No. 5, pp. 134 - 140, 2015. DOI: 10.13189/ms.2015.030504.

(b). APA Format:
Imdat Iscan , Mustafa Aydin , Sema Dikmenoglu (2015). New Integral Inequalities via Harmonically Convex Functions. Mathematics and Statistics, 3(5), 134 - 140. DOI: 10.13189/ms.2015.030504.