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

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 se...

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Main Authors: Almutairi, Ohud, Kilicman, Adem
Format: Article
Language:English
Published: MDPI 2020
Online Access:http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf
http://psasir.upm.edu.my/id/eprint/38275/
https://www.mdpi.com/2073-8994/12/4/568
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spelling my.upm.eprints.382752020-05-04T16:10:55Z http://psasir.upm.edu.my/id/eprint/38275/ New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals Almutairi, Ohud Kilicman, Adem 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. MDPI 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf 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 https://www.mdpi.com/2073-8994/12/4/568 10.3390/sym12040568
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Almutairi, Ohud
Kilicman, Adem
spellingShingle Almutairi, Ohud
Kilicman, Adem
New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
author_facet Almutairi, Ohud
Kilicman, Adem
author_sort Almutairi, Ohud
title New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
title_short New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
title_full New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
title_fullStr New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
title_full_unstemmed New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
title_sort new generalized hermite-hadamard inequality and related integral inequalities involving katugampola type fractional integrals
publisher MDPI
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf
http://psasir.upm.edu.my/id/eprint/38275/
https://www.mdpi.com/2073-8994/12/4/568
_version_ 1665895970580201472
score 13.188404

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