q,h-Opial-Type Inequalities via Hahn Operators
In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus. The weight functions involved in these Opial-type inequalities are positive and monotone. In search of appl...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/2650126 |
| _version_ | 1797984348640641024 |
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| author | Ammara Nosheen Anum Saba Khuram Ali Khan Michael Kikomba Kahungu |
| author_facet | Ammara Nosheen Anum Saba Khuram Ali Khan Michael Kikomba Kahungu |
| author_sort | Ammara Nosheen |
| collection | DOAJ |
| description | In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus. The weight functions involved in these Opial-type inequalities are positive and monotone. In search of applications, some new as well as some existing inequalities in the literature are obtained by applying suitable limits. |
| first_indexed | 2024-04-11T07:00:50Z |
| format | Article |
| id | doaj.art-2471549c365b4af8a54842e122756b39 |
| institution | Directory Open Access Journal |
| issn | 1607-887X |
| language | English |
| last_indexed | 2024-04-11T07:00:50Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj.art-2471549c365b4af8a54842e122756b392022-12-22T04:38:44ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/2650126q,h-Opial-Type Inequalities via Hahn OperatorsAmmara Nosheen0Anum Saba1Khuram Ali Khan2Michael Kikomba Kahungu3Department of MathematicsGovernment Girls High SchoolDepartment of MathematicsHigher Institute of Education of Gombe (ISP Gombe)In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus. The weight functions involved in these Opial-type inequalities are positive and monotone. In search of applications, some new as well as some existing inequalities in the literature are obtained by applying suitable limits.http://dx.doi.org/10.1155/2022/2650126 |
| spellingShingle | Ammara Nosheen Anum Saba Khuram Ali Khan Michael Kikomba Kahungu q,h-Opial-Type Inequalities via Hahn Operators Discrete Dynamics in Nature and Society |
| title | q,h-Opial-Type Inequalities via Hahn Operators |
| title_full | q,h-Opial-Type Inequalities via Hahn Operators |
| title_fullStr | q,h-Opial-Type Inequalities via Hahn Operators |
| title_full_unstemmed | q,h-Opial-Type Inequalities via Hahn Operators |
| title_short | q,h-Opial-Type Inequalities via Hahn Operators |
| title_sort | q h opial type inequalities via hahn operators |
| url | http://dx.doi.org/10.1155/2022/2650126 |
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