On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications
In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented. Using these equalities or lemmas along with several known identities, new...
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University of Maragheh
2025-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_719498_b8ff886229de4b6114589ac4669aa2f1.pdf |
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| author | Artion Kashuri Muhammad Talha Soubhagya Sahoo |
| author_facet | Artion Kashuri Muhammad Talha Soubhagya Sahoo |
| author_sort | Artion Kashuri |
| collection | DOAJ |
| description | In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented. Using these equalities or lemmas along with several known identities, new inequalities for convex functions and the Atangana-Baleanu-Katugampola, fractional integral operators are proved. By making appropriate choices of parameters, some connections between our results and various other findings are also recognized in the paper. Finally, some applications to unique means for positive real numbers are offered. |
| format | Article |
| id | doaj-art-726baac893034f51a6a583ef96e8a102 |
| institution | OA Journals |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-726baac893034f51a6a583ef96e8a1022025-08-20T02:27:07ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-04-0122212910.22130/scma.2024.2023156.1628719498On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with ApplicationsArtion Kashuri0Muhammad Talha1Soubhagya Sahoo2Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania.Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61110, Pakistan.Department of Mathematics, ITER, SOA University, Bhubaneswar 751030, India.In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented. Using these equalities or lemmas along with several known identities, new inequalities for convex functions and the Atangana-Baleanu-Katugampola, fractional integral operators are proved. By making appropriate choices of parameters, some connections between our results and various other findings are also recognized in the paper. Finally, some applications to unique means for positive real numbers are offered.https://scma.maragheh.ac.ir/article_719498_b8ff886229de4b6114589ac4669aa2f1.pdfostrowski inequalityconvex functionatangana-baleanu katugampola fractional integral operatorh\"{o}lder's inequalitypower-mean inequalityyoung's inequalityspecial meansestimations |
| spellingShingle | Artion Kashuri Muhammad Talha Soubhagya Sahoo On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications Sahand Communications in Mathematical Analysis ostrowski inequality convex function atangana-baleanu katugampola fractional integral operator h\"{o}lder's inequality power-mean inequality young's inequality special means estimations |
| title | On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications |
| title_full | On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications |
| title_fullStr | On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications |
| title_full_unstemmed | On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications |
| title_short | On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications |
| title_sort | on certain ostrowski type integral inequalities involving atangana baleanu katugampola fractional integral operator for convex function with applications |
| topic | ostrowski inequality convex function atangana-baleanu katugampola fractional integral operator h\"{o}lder's inequality power-mean inequality young's inequality special means estimations |
| url | https://scma.maragheh.ac.ir/article_719498_b8ff886229de4b6114589ac4669aa2f1.pdf |
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