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M. Tunç: On some new inequalities for convex fonctions, Turk. J. Math. 36 (2012), 245-251.

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Article

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

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


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 4, 113-118
DOI: 10.12691/tjant-2-4-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
MEVLÜT TUNÇ, IBRAHİM KARABAYIR, 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.

Correspondence to: MEVLÜT  TUNÇ, Mustafa Kemal University, Faculty of Science and Arts, Department of Mathematics, Hatay, Turkey. Email: mevluttttunc@gmail.com

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.

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