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

Erhan Set; Mehmet Zeki Sarikaya; M. Emin Özdemir; Hüseyin Yıldırım

doi:10.2478/jamsi-2014-0014

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

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

Journal of Applied Mathematics, Statistics and Informatics

Volume 10 (2014): Issue 2 (December 2014)

By: Erhan Set, Mehmet Zeki Sarikaya, M. Emin Özdemir and Hüseyin Yıldırım

Open Access

|Jan 2015

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.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2014-0014 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 69 - 83

Published on: Jan 27, 2015

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

s - convex functions,

Hermite-Hadamard type inequalities,

Riemann-Liouville fractional integral

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2015 Erhan Set, Mehmet Zeki Sarikaya, M. Emin Özdemir, Hüseyin Yıldırım, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 10 (2014): Issue 2 (December 2014)