On Some Integral Inequalities via Conformable Fractional Integrals-Reference-Cited by-同舟云学术

On Some Integral Inequalities via Conformable Fractional Integrals

Published:2020-12-31 Issue:1 Volume:6 Page:489-498
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Akdemir Ahmet Ocak¹,Deniz Erhan²,Yüksel Ebru¹

Affiliation:

1. Ağrı İbrahim Çeçen University , Faculty of Science and Letters, Department of Mathematics , , Ağrı , Turkey

2. Kafkas University , Faculty of Science and Letters, Department of Mathematics , , Kars , Turkey

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00071

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3. A. Yalçın, Integral inequalities for different kinds of convex functions via conformable fractional integrals, Master Thesis, Ağrı İbrahim Çeçen University, 2016.

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5. J. Pečarić, F. Proschan and Y.L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press (1992), Inc.

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