September 2022 Some integral inequalities via fractional derivatives
Sikander Mehmood, Juan E. Nápoles Valdés, Nawal Fatima, Waqas Aslam
Adv. Studies: Euro-Tbilisi Math. J. 15(3): 31-44 (September 2022). DOI: 10.32513/asetmj/19322008222

Abstract

In this work, we obtain new versions of the Hermite-Hadamard Inequality via generalized fractional derivatives, which differentiates our work from previous known ones, which use integral operators. Several known results from the literature are particular cases of ours, demonstrating the breadth and generality of our conclusions.

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The current pdf replaces the original pdf file, first available on 5 October 2022. The new version corrects the DOI prefix to read 10.32513.

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Sikander Mehmood. Juan E. Nápoles Valdés. Nawal Fatima. Waqas Aslam. "Some integral inequalities via fractional derivatives." Adv. Studies: Euro-Tbilisi Math. J. 15 (3) 31 - 44, September 2022. https://doi.org/10.32513/asetmj/19322008222

Information

Received: 27 August 2021; Accepted: 25 March 2022; Published: September 2022
First available in Project Euclid: 5 October 2022

MathSciNet: MR4492084
zbMATH: 1508.26017
Digital Object Identifier: 10.32513/asetmj/19322008222

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

Keywords: Convex functions , fractional derivatives and integrals , integral inequalities

Rights: Copyright © 2022 Tbilisi Centre for Mathematical Sciences

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Vol.15 • No. 3 • September 2022
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