Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity

In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.

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Main Authors: Khuram Ali Khan, Khalid Mahmood Awan, Allah Ditta, Ammara Nosheen, Rostin Mabela Matendo
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/2416819
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author Khuram Ali Khan
Khalid Mahmood Awan
Allah Ditta
Ammara Nosheen
Rostin Mabela Matendo
author_facet Khuram Ali Khan
Khalid Mahmood Awan
Allah Ditta
Ammara Nosheen
Rostin Mabela Matendo
author_sort Khuram Ali Khan
collection DOAJ
description In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
format Article
id doaj-art-cab3008dab9d4460a6fad36cc5b0e64a
institution Kabale University
issn 2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-cab3008dab9d4460a6fad36cc5b0e64a2025-02-03T06:00:49ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/2416819Extensions of Ostrowski Type Inequalities via h-Integrals and s-ConvexityKhuram Ali Khan0Khalid Mahmood Awan1Allah Ditta2Ammara Nosheen3Rostin Mabela Matendo4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Maths and Computer ScienceIn this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.http://dx.doi.org/10.1155/2021/2416819
spellingShingle Khuram Ali Khan
Khalid Mahmood Awan
Allah Ditta
Ammara Nosheen
Rostin Mabela Matendo
Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
Journal of Mathematics
title Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
title_full Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
title_fullStr Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
title_full_unstemmed Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
title_short Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
title_sort extensions of ostrowski type inequalities via h integrals and s convexity
url http://dx.doi.org/10.1155/2021/2416819
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AT khalidmahmoodawan extensionsofostrowskitypeinequalitiesviahintegralsandsconvexity
AT allahditta extensionsofostrowskitypeinequalitiesviahintegralsandsconvexity
AT ammaranosheen extensionsofostrowskitypeinequalitiesviahintegralsandsconvexity
AT rostinmabelamatendo extensionsofostrowskitypeinequalitiesviahintegralsandsconvexity