Citation
Almutairi, Ohud and Kilicman, Adem
(2020)
New generalized 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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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/sym12040568 |
| Publisher: | MDPI |
| Keywords: | Convex function; Generalized convex function; Hermite–Hadamard inequality; Katugampola fractional integral |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 May 2020 16:10 |
| Last Modified: | 04 May 2020 16:10 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym12040568 |
| URI: | http://psasir.upm.edu.my/id/eprint/38275 |
| Statistic Details: | View Download Statistic |
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