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M Tunç, S Balgeçti, Some inequalities for differentiable convex functions with applications, http://arxiv.org/pdf/1406.7217.pdf, submitted.

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Article

Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers

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


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 2, 48-53
DOI: 10.12691/tjant-4-2-5
Copyright © 2016 Science and Education Publishing

Cite this paper:
MEVLÜT TUNÇ, SEVIL BALGEÇTİ. Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers. Turkish Journal of Analysis and Number Theory. 2016; 4(2):48-53. doi: 10.12691/tjant-4-2-5.

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 establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known Hölder inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.

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