On Some Inequalities for Functions Whose Second Derivatives Absolute Values Are S-Geometrically Convex

MEVLÜT TUNÇ^1, , IBRAHİM KARABAYIR² and EBRU YÜKSEL³

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

²The Institute for Graduate Studies in Sciences and Engineering, Kilis 7 Aralk University, Kilis, Turkey

³AGRI Ibrahim Çeçen University, Faculty of Science and Arts, Department of Mathematics, AGRI, Turkey

Cite this paper:
MEVLÜT TUNÇ, IBRAHİM KARABAYIR and EBRU YÜKSEL. On Some Inequalities for Functions Whose Second Derivatives Absolute Values Are S-Geometrically Convex. Turkish Journal of Analysis and Number Theory. 2014; 2(4):113-118. doi: 10.12691/tjant-2-4-2

Abstract

In this paper, the authors achieve some new Hadamard type in- equalities using elementary well known inequalities for functions whose second derivatives absolute values are s-geometrically and geometrically convex. And also they get some applications for special means for positive numbers.

Keywords:
s-geometrically convex geometrically convex Hadamard.s inequality Hölder.s inequality power mean inequality means

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