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September 2017 Hermite-Hadamard type inequalities for generalized $(s, m, φ)$-preinvex functions via $k$-fractional integrals
Artion Kashuri, Rozana Liko
Tbilisi Math. J. 10(4): 73-82 (September 2017). DOI: 10.1515/tmj-2017-0046

Abstract

In the present paper, the notion of generalized $(s, m, φ)$-preinvex function is applied to establish some new Hermite-Hadamard type inequalities via $k$-fractional Riemann-Liouville integrals. At the end, some applications to special means are given. These results not only extend the results appeared in the literature, but also provide new estimates on these types.

Citation

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Artion Kashuri. Rozana Liko. "Hermite-Hadamard type inequalities for generalized $(s, m, φ)$-preinvex functions via $k$-fractional integrals." Tbilisi Math. J. 10 (4) 73 - 82, September 2017. https://doi.org/10.1515/tmj-2017-0046

Information

Received: 29 October 2016; Accepted: 20 September 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 1375.26023
MathSciNet: MR3717111
Digital Object Identifier: 10.1515/tmj-2017-0046

Subjects:
Primary: 26A51‎
Secondary: 26A33, 26D07, 26D10, 26D15

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 4 • September 2017
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