## Tbilisi Mathematical Journal

### Hermite-Hadamard type inequalities for generalized $(s, m, φ)$-preinvex functions via $k$-fractional integrals

#### 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.

#### Article information

Source
Tbilisi Math. J., Volume 10, Issue 4 (2017), 73-82.

Dates
Accepted: 20 September 2017
First available in Project Euclid: 21 April 2018

https://projecteuclid.org/euclid.tbilisi/1524276059

Digital Object Identifier
doi:10.1515/tmj-2017-0046

Mathematical Reviews number (MathSciNet)
MR3717111

Zentralblatt MATH identifier
1375.26023

#### Citation

Kashuri, Artion; Liko, Rozana. Hermite-Hadamard type inequalities for generalized $(s, m, φ)$-preinvex functions via $k$-fractional integrals. Tbilisi Math. J. 10 (2017), no. 4, 73--82. doi:10.1515/tmj-2017-0046. https://projecteuclid.org/euclid.tbilisi/1524276059

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