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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Hindawi Limited
2021
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oai:doaj.org-article:cab3008dab9d4460a6fad36cc5b0e64a2021-11-22T01:09:42ZExtensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity2314-478510.1155/2021/2416819https://doaj.org/article/cab3008dab9d4460a6fad36cc5b0e64a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2416819https://doaj.org/toc/2314-4785In 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.Khuram Ali KhanKhalid Mahmood AwanAllah DittaAmmara NosheenRostin Mabela MatendoHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021) |
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DOAJ |
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DOAJ |
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Mathematics QA1-939 |
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Mathematics QA1-939 Khuram Ali Khan Khalid Mahmood Awan Allah Ditta Ammara Nosheen Rostin Mabela Matendo Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity |
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 |
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 |
title |
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_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_sort |
extensions of ostrowski type inequalities via h-integrals and s-convexity |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/cab3008dab9d4460a6fad36cc5b0e64a |
work_keys_str_mv |
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1718418426296270848 |