The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results-Reference-Cited by-同舟云学术

The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results

Published:2014-12-01 Issue:2 Volume:10 Page:69-83
ISSN:1336-9180
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Set Erhan¹,Sarikaya Mehmet Zeki²,Özdemir M. Emin³,Yıldırım Hüseyin⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, TURKEY

2. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, TURKEY

3. Department of Mathematics K. K. Education Faculty, Ataturk University, 25640, Kampus, Erzurum, TURKEY

4. Department of Mathematics, Faculty of Science and Arts, Kahramanmaraş Sütcü Imam University, Kahramanmaraş-TURKEY

Abstract

Abstract In this paper, we establish Hermite-Hadamard type inequalities for s - convex functions in the second sense and m - convex functions via fractional integrals. The analysis used in the proofs is fairly elementary.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2014-0014

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