Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator
Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using this identity, we then apply Jensen integral...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024175561 |
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| author | Gauhar Rahman Muhammad Samraiz Kamal Shah Thabet Abdeljawad Yasser Elmasry |
| author_facet | Gauhar Rahman Muhammad Samraiz Kamal Shah Thabet Abdeljawad Yasser Elmasry |
| author_sort | Gauhar Rahman |
| collection | DOAJ |
| description | Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using this identity, we then apply Jensen integral inequality, Young's inequality, power-mean inequality, and Hölder inequality to prove several new generalizations of Ostrowski type inequality for the convexity of |ℵ|. From the primary findings, we also deduced a few new special cases. The results of this investigation are expected to indicate new advances in the study of fractional integral inequalities. |
| format | Article |
| id | doaj-art-33bb416be33141b68ca4ee639b1c4ba4 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-33bb416be33141b68ca4ee639b1c4ba42025-01-17T04:51:32ZengElsevierHeliyon2405-84402025-01-01111e41525Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operatorGauhar Rahman0Muhammad Samraiz1Kamal Shah2Thabet Abdeljawad3Yasser Elmasry4Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan; Corresponding authors.Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India; Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Corresponding authors.Department of Mathematics, College of Science - King Khalid University, P.O. Box 9004, Abha 61466, Saudi ArabiaConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using this identity, we then apply Jensen integral inequality, Young's inequality, power-mean inequality, and Hölder inequality to prove several new generalizations of Ostrowski type inequality for the convexity of |ℵ|. From the primary findings, we also deduced a few new special cases. The results of this investigation are expected to indicate new advances in the study of fractional integral inequalities.http://www.sciencedirect.com/science/article/pii/S2405844024175561Young inequalityConvex functionPower mean inequalityFractional operators |
| spellingShingle | Gauhar Rahman Muhammad Samraiz Kamal Shah Thabet Abdeljawad Yasser Elmasry Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator Heliyon Young inequality Convex function Power mean inequality Fractional operators |
| title | Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator |
| title_full | Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator |
| title_fullStr | Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator |
| title_full_unstemmed | Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator |
| title_short | Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator |
| title_sort | advancements in integral inequalities of ostrowski type via modified atangana baleanu fractional integral operator |
| topic | Young inequality Convex function Power mean inequality Fractional operators |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024175561 |
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