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New generalized the Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals


Citation

Almutairi, Ohud and Kilicman, Adem (2020) New generalized the Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals. Symmetry, 12 (4). art. no. 568. pp. 1-14. ISSN 2073-8994

Abstract

In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established. This fractional integral generalizes Riemann-Liouville and Hadamard’s integral, which possess a symmetric property. We derive trapezoid and mid-point type inequalities connected to this generalized Hermite-Hadamard inequality.


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Official URL or Download Paper: https://www.mdpi.com/2073-8994/12/4/568

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.3390/sym12040568
Publisher: Multidisciplinary Digital Publishing Institute
Keywords: Convex function; Generalized convex function; Hermite–Hadamard inequality; Katugampola fractional integral
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 03 Jan 2022 02:59
Last Modified: 03 Jan 2022 02:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym12040568
URI: http://psasir.upm.edu.my/id/eprint/86896
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