New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions

In the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. The limiting cases include the nonfractional existing cases from literature. Specially, Ostrowski type inequalities for q-integrals and Ost...

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Main Authors: Xiaoming Wang, Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/9742133
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author Xiaoming Wang
Khuram Ali Khan
Allah Ditta
Ammara Nosheen
Khalid Mahmood Awan
Rostin Matendo Mabela
author_facet Xiaoming Wang
Khuram Ali Khan
Allah Ditta
Ammara Nosheen
Khalid Mahmood Awan
Rostin Matendo Mabela
author_sort Xiaoming Wang
collection DOAJ
description In the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. The limiting cases include the nonfractional existing cases from literature. Specially, Ostrowski type inequalities for q-integrals and Ostrowski type inequalities for convex functions are deduced.
format Article
id doaj-art-54d6db29733c47729d54fd5d64814fef
institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-54d6db29733c47729d54fd5d64814fef2025-02-03T01:22:41ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9742133New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex FunctionsXiaoming Wang0Khuram Ali Khan1Allah Ditta2Ammara Nosheen3Khalid Mahmood Awan4Rostin Matendo Mabela5School of Mathematics & Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Maths and Computer ScienceIn the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. The limiting cases include the nonfractional existing cases from literature. Specially, Ostrowski type inequalities for q-integrals and Ostrowski type inequalities for convex functions are deduced.http://dx.doi.org/10.1155/2022/9742133
spellingShingle Xiaoming Wang
Khuram Ali Khan
Allah Ditta
Ammara Nosheen
Khalid Mahmood Awan
Rostin Matendo Mabela
New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
Journal of Function Spaces
title New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
title_full New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
title_fullStr New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
title_full_unstemmed New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
title_short New Developments on Ostrowski Type Inequalities via q-Fractional Integrals Involving s-Convex Functions
title_sort new developments on ostrowski type inequalities via q fractional integrals involving s convex functions
url http://dx.doi.org/10.1155/2022/9742133
work_keys_str_mv AT xiaomingwang newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions
AT khuramalikhan newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions
AT allahditta newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions
AT ammaranosheen newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions
AT khalidmahmoodawan newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions
AT rostinmatendomabela newdevelopmentsonostrowskitypeinequalitiesviaqfractionalintegralsinvolvingsconvexfunctions