Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications
In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals. By using Katugampola fractional integral operators, we obtained several new identities an...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712441_b012256c2a2bc53607cc0a662c931161.pdf |
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| author | Muhammad Talha Artion Kashuri Soubhagya Sahoo |
| author_facet | Muhammad Talha Artion Kashuri Soubhagya Sahoo |
| author_sort | Muhammad Talha |
| collection | DOAJ |
| description | In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals. By using Katugampola fractional integral operators, we obtained several new identities and presented new results for the s-convex function in the second sense. We made connections of our results with various results recognized in the literature. Finally, applications to special means are examined to verify the efficiency of the established results. |
| format | Article |
| id | doaj-art-c52570730f204802b404eae23e05870f |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-c52570730f204802b404eae23e05870f2025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121332335910.22130/scma.2023.2008818.1422712441Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their ApplicationsMuhammad Talha0Artion Kashuri1Soubhagya Sahoo2Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61110, Pakistan.Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania.Department of Mathematics, ITER, SOA University, Bhubaneswar 751030, India.In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals. By using Katugampola fractional integral operators, we obtained several new identities and presented new results for the s-convex function in the second sense. We made connections of our results with various results recognized in the literature. Finally, applications to special means are examined to verify the efficiency of the established results.https://scma.maragheh.ac.ir/article_712441_b012256c2a2bc53607cc0a662c931161.pdfhermite-hadamard type inequalitiessimpson type inequalitiesostrowski type inequalitiesholder's inequalityyoung's inequalitys-convex functionkatugampola fractional integral operatorsspecial means |
| spellingShingle | Muhammad Talha Artion Kashuri Soubhagya Sahoo Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications Sahand Communications in Mathematical Analysis hermite-hadamard type inequalities simpson type inequalities ostrowski type inequalities holder's inequality young's inequality s-convex function katugampola fractional integral operators special means |
| title | Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications |
| title_full | Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications |
| title_fullStr | Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications |
| title_full_unstemmed | Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications |
| title_short | Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications |
| title_sort | integral inequalities using generalized convexity property pertaining to fractional integrals and their applications |
| topic | hermite-hadamard type inequalities simpson type inequalities ostrowski type inequalities holder's inequality young's inequality s-convex function katugampola fractional integral operators special means |
| url | https://scma.maragheh.ac.ir/article_712441_b012256c2a2bc53607cc0a662c931161.pdf |
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