Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel

The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions. We prove a set of inequalities for the fractional...

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Main Authors: Arshad Hussain, Gauhar Rahman, Jihad Younis, Muhammad Samraiz, Muhammad Iqbal
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7325102
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author Arshad Hussain
Gauhar Rahman
Jihad Younis
Muhammad Samraiz
Muhammad Iqbal
author_facet Arshad Hussain
Gauhar Rahman
Jihad Younis
Muhammad Samraiz
Muhammad Iqbal
author_sort Arshad Hussain
collection DOAJ
description The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions. We prove a set of inequalities for the fractional integral operator in terms of extended generalized Bessel function integrals with one and two parameters. Also, we discussed some special cases of the obtained result.
format Article
id doaj-art-42f04d92ef2b4d099e0ea0c5613648dc
institution OA Journals
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-42f04d92ef2b4d099e0ea0c5613648dc2025-08-20T02:37:58ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/73251027325102Fractional Integral Inequalities concerning Extended Bessel Function in the KernelArshad Hussain0Gauhar Rahman1Jihad Younis2Muhammad Samraiz3Muhammad Iqbal4Department of Mathematics and Statistics, Hazara University, Mansehra, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanAden University, Khormaksar, P. O. Box 6014, Aden, YemenDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, PakistanThe major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions. We prove a set of inequalities for the fractional integral operator in terms of extended generalized Bessel function integrals with one and two parameters. Also, we discussed some special cases of the obtained result.http://dx.doi.org/10.1155/2021/7325102
spellingShingle Arshad Hussain
Gauhar Rahman
Jihad Younis
Muhammad Samraiz
Muhammad Iqbal
Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics
title Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
title_full Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
title_fullStr Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
title_full_unstemmed Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
title_short Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
title_sort fractional integral inequalities concerning extended bessel function in the kernel
url http://dx.doi.org/10.1155/2021/7325102
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AT jihadyounis fractionalintegralinequalitiesconcerningextendedbesselfunctioninthekernel
AT muhammadsamraiz fractionalintegralinequalitiesconcerningextendedbesselfunctioninthekernel
AT muhammadiqbal fractionalintegralinequalitiesconcerningextendedbesselfunctioninthekernel