Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus
In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integ...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/7473193 |
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| _version_ | 1849737128775254016 |
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| author | Khaled Aldwoah Ammara Nosheen Faez A. Alqarni Khuram Ali Khan Masud Ahmad Rostin M. Mabela |
| author_facet | Khaled Aldwoah Ammara Nosheen Faez A. Alqarni Khuram Ali Khan Masud Ahmad Rostin M. Mabela |
| author_sort | Khaled Aldwoah |
| collection | DOAJ |
| description | In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously. By utilizing these identities, Chebyshev type inequalities are obtained for diamond alpha integrals. Special cases are also deduced to obtain connection with existing literature. |
| format | Article |
| id | doaj-art-ee62c7bd98144e9c83680c782c2725e9 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ee62c7bd98144e9c83680c782c2725e92025-08-20T03:07:01ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/7473193Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale CalculusKhaled Aldwoah0Ammara Nosheen1Faez A. Alqarni2Khuram Ali Khan3Masud Ahmad4Rostin M. Mabela5Department of MathematicsDepartment of MathematicsDepartment of General StudiesDepartment of MathematicsGovernment High School MureedDepartment of Maths and Computer ScienceIn this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously. By utilizing these identities, Chebyshev type inequalities are obtained for diamond alpha integrals. Special cases are also deduced to obtain connection with existing literature.http://dx.doi.org/10.1155/jom/7473193 |
| spellingShingle | Khaled Aldwoah Ammara Nosheen Faez A. Alqarni Khuram Ali Khan Masud Ahmad Rostin M. Mabela Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus Journal of Mathematics |
| title | Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus |
| title_full | Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus |
| title_fullStr | Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus |
| title_full_unstemmed | Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus |
| title_short | Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus |
| title_sort | bivariate chebyshev type inequalities for alpha diamond integrals via time scale calculus |
| url | http://dx.doi.org/10.1155/jom/7473193 |
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