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Zabandan, G. A new refinement of the Hermite-Hadamard inequality for convex functions, J. Inequal. Pure Appl. Math. 10(2), Article ID 45, 2009.

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Article

Strongly Multiplicatively -function and Some New Inequalities

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


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 3, 59-64
DOI: 10.12691/tjant-7-3-1
Copyright © 2019 Science and Education Publishing

Cite this paper:
Mahir Kadakal. Strongly Multiplicatively -function and Some New Inequalities. Turkish Journal of Analysis and Number Theory. 2019; 7(3):59-64. doi: 10.12691/tjant-7-3-1.

Correspondence to: Mahir  Kadakal, Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun-Turkey. Email: mahirkadakal@gmail.com

Abstract

In this study, we present a new definition of convexity. This definition is the class of strongly multiplicatively P-functions. Some new Hermite-Hadamard type inequalities are derived for strongly multiplicatively -functions. Some applications to special means of real numbers are given. Ideas of this paper may stimulate further research.

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