<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

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

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

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

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

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jan 27, 2015

Page range: 69 - 83

DOI: https://doi.org/10.2478/jamsi-2014-0014

Keywords
s - convex functions, Hermite-Hadamard type inequalities, Riemann-Liouville fractional integral

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jan 27, 2015

Page range: 69 - 83

DOI: https://doi.org/10.2478/jamsi-2014-0014

Keywordss - convex functions, Hermite-Hadamard type inequalities, Riemann-Liouville fractional integral

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
s - convex functions, Hermite-Hadamard type inequalities, Riemann-Liouville fractional integral