Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 2


Published
on

December 31, 2020


Pages

489-498


DOI

Article

On Some Integral Inequalities via Conformable Fractional Integrals


Authors

Ahmet Ocak Akdemir Affiliation:
Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, Ağrı -Turkey
, Erhan Deniz Affiliation:
Kafkas University, Faculty of Science and Letters, Department of Mathematics, 36100, Kars, Turkey
and Ebru Yüksel Affiliation:
Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, 04100, Ağrı, Turkey


Abstract

In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals. We have also showed that special cases of our findings gave some new inequalities involving Riemann-Liouville fractional integrals.


Keywords

Conformable fractional integrals, m−convexity, s−convexity, quasi-convexity, Euler Beta function, 26D15


Citation

Akdemir, A. O., Deniz, E., & Yüksel, E. (2020). On some integral inequalities via conformable fractional integrals. Applied Mathematics and Nonlinear Sciences, 5(2), 489–498. https://doi.org/10.2478/amns.2020.2.00071

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