On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions
By utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel. We use some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality to...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7668860 |
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| _version_ | 1832548752767844352 |
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| author | M. Zakarya Ghada AlNemer H. A. Abd El-Hamid Roqia Butush H. M. Rezk |
| author_facet | M. Zakarya Ghada AlNemer H. A. Abd El-Hamid Roqia Butush H. M. Rezk |
| author_sort | M. Zakarya |
| collection | DOAJ |
| description | By utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel. We use some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality to prove the essential results in this paper. The performance of the superquadratic functions is reliable and effective to obtain new dynamic inequalities on time scales. By utilizing special kernels, we also acquire numerous examples and implementations of the related inequalities. |
| format | Article |
| id | doaj-art-143549dd2ddd4f86a59920bfad0fa9a7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-143549dd2ddd4f86a59920bfad0fa9a72025-02-03T06:13:05ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7668860On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic FunctionsM. Zakarya0Ghada AlNemer1H. A. Abd El-Hamid2Roqia Butush3H. M. Rezk4King Khalid UniversityDepartment of Mathematical ScienceDepartment of Mathematics and Computer ScienceDepartment of MathematicsDepartment of MathematicsBy utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel. We use some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality to prove the essential results in this paper. The performance of the superquadratic functions is reliable and effective to obtain new dynamic inequalities on time scales. By utilizing special kernels, we also acquire numerous examples and implementations of the related inequalities.http://dx.doi.org/10.1155/2022/7668860 |
| spellingShingle | M. Zakarya Ghada AlNemer H. A. Abd El-Hamid Roqia Butush H. M. Rezk On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions Journal of Mathematics |
| title | On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions |
| title_full | On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions |
| title_fullStr | On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions |
| title_full_unstemmed | On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions |
| title_short | On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions |
| title_sort | on refinements of multidimensional inequalities of hardy type via superquadratic and subquadratic functions |
| url | http://dx.doi.org/10.1155/2022/7668860 |
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