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

,

Mehmet Zeki Sarikaya

Sarikaya, Mehmet Zeki

,

M. Emin Özdemir

Özdemir, M. Emin

and

Hüseyin Yıldırım

Yıldırım, Hüseyin

Jan 27, 2015

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

Journal of Applied Mathematics, Statistics and Informatics

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

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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.

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.

Language:: English

Publication timeframe:: 2 times per year
Journal Subjects:: Computer Sciences, Information Technology, Mathematics, Logic and Set Theory, Probability and Statistics, Applied Mathematics

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