Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels

In the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.

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Bibliographic Details
Main Authors: Hengxiao Qi, Waqas Nazeer, Sami Ullah Zakir, Kamsing Nonlaopon
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9653481
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author Hengxiao Qi
Waqas Nazeer
Sami Ullah Zakir
Kamsing Nonlaopon
author_facet Hengxiao Qi
Waqas Nazeer
Sami Ullah Zakir
Kamsing Nonlaopon
author_sort Hengxiao Qi
collection DOAJ
description In the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.
format Article
id doaj-art-877b06ab447749c5b817a65edbb0a618
institution Kabale University
issn 2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-877b06ab447749c5b817a65edbb0a6182025-02-03T01:25:49ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9653481Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry KernelsHengxiao Qi0Waqas Nazeer1Sami Ullah Zakir2Kamsing Nonlaopon3Party School of Shandong Provincial Committee of the Communist Party of China (Shandong Administration College)Department of MathematicsParty School of Shandong Provincial Committee of the Communist Party of China (Shandong Administration College)Department of MathematicsIn the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.http://dx.doi.org/10.1155/2021/9653481
spellingShingle Hengxiao Qi
Waqas Nazeer
Sami Ullah Zakir
Kamsing Nonlaopon
Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
Journal of Function Spaces
title Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
title_full Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
title_fullStr Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
title_full_unstemmed Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
title_short Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
title_sort midpoint inequalities via strong convexity using positive weighted symmetry kernels
url http://dx.doi.org/10.1155/2021/9653481
work_keys_str_mv AT hengxiaoqi midpointinequalitiesviastrongconvexityusingpositiveweightedsymmetrykernels
AT waqasnazeer midpointinequalitiesviastrongconvexityusingpositiveweightedsymmetrykernels
AT samiullahzakir midpointinequalitiesviastrongconvexityusingpositiveweightedsymmetrykernels
AT kamsingnonlaopon midpointinequalitiesviastrongconvexityusingpositiveweightedsymmetrykernels