On the multiparameterized fractional multiplicative integral inequalities
Abstract We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03127-z |
| _version_ | 1797209017800458240 |
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| author | Mohammed Bakheet Almatrafi Wedad Saleh Abdelghani Lakhdari Fahd Jarad Badreddine Meftah |
| author_facet | Mohammed Bakheet Almatrafi Wedad Saleh Abdelghani Lakhdari Fahd Jarad Badreddine Meftah |
| author_sort | Mohammed Bakheet Almatrafi |
| collection | DOAJ |
| description | Abstract We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus. |
| first_indexed | 2024-04-24T09:48:01Z |
| format | Article |
| id | doaj.art-baf4f09037d549cb9911566363a5e250 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T09:48:01Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-baf4f09037d549cb9911566363a5e2502024-04-14T11:32:26ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-04-012024112710.1186/s13660-024-03127-zOn the multiparameterized fractional multiplicative integral inequalitiesMohammed Bakheet Almatrafi0Wedad Saleh1Abdelghani Lakhdari2Fahd Jarad3Badreddine Meftah4Department of Mathematics, College of Science, Taibah UniversityDepartment of Mathematics, College of Science, Taibah UniversityDepartment CPST, National Higher School of Technology and EngineeringDepartment of Mathematics, Faculty of Arts and Sciences, Çankaya UniversityDepartment of Mathematics, University 8 may 1945 GuelmaAbstract We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus.https://doi.org/10.1186/s13660-024-03127-zMultiparameterized identityIntegral inequalitiesFractional multiplicative integralMultiplicative s-convexity |
| spellingShingle | Mohammed Bakheet Almatrafi Wedad Saleh Abdelghani Lakhdari Fahd Jarad Badreddine Meftah On the multiparameterized fractional multiplicative integral inequalities Journal of Inequalities and Applications Multiparameterized identity Integral inequalities Fractional multiplicative integral Multiplicative s-convexity |
| title | On the multiparameterized fractional multiplicative integral inequalities |
| title_full | On the multiparameterized fractional multiplicative integral inequalities |
| title_fullStr | On the multiparameterized fractional multiplicative integral inequalities |
| title_full_unstemmed | On the multiparameterized fractional multiplicative integral inequalities |
| title_short | On the multiparameterized fractional multiplicative integral inequalities |
| title_sort | on the multiparameterized fractional multiplicative integral inequalities |
| topic | Multiparameterized identity Integral inequalities Fractional multiplicative integral Multiplicative s-convexity |
| url | https://doi.org/10.1186/s13660-024-03127-z |
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