Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results
In this paper, a well-known inequality called Giaccardi inequality is established for isotonic linear functionals by applying s-convexity in the second sense, which leads to notable Petrović inequality. As a special case, discrete and integral versions of Giaccardi inequality are derived along with...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4145336 |
| _version_ | 1798019076047503360 |
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| author | Dong Chen Dina Abuzaid Atiq Ur Rehman Aqsa Rani |
| author_facet | Dong Chen Dina Abuzaid Atiq Ur Rehman Aqsa Rani |
| author_sort | Dong Chen |
| collection | DOAJ |
| description | In this paper, a well-known inequality called Giaccardi inequality is established for isotonic linear functionals by applying s-convexity in the second sense, which leads to notable Petrović inequality. As a special case, discrete and integral versions of Giaccardi inequality are derived along with the Petrović inequality as a particular case. In application point of view, newly established inequalities are derived for different time scales. |
| first_indexed | 2024-04-11T16:34:40Z |
| format | Article |
| id | doaj.art-55b90b61c42547e0a45fcbc6ca5f508b |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-11T16:34:40Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-55b90b61c42547e0a45fcbc6ca5f508b2022-12-22T04:13:52ZengHindawi LimitedJournal of Mathematics2314-47852022-01-01202210.1155/2022/4145336Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated ResultsDong Chen0Dina Abuzaid1Atiq Ur Rehman2Aqsa Rani3College of Electronic Information and Electrical EngineeringDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, a well-known inequality called Giaccardi inequality is established for isotonic linear functionals by applying s-convexity in the second sense, which leads to notable Petrović inequality. As a special case, discrete and integral versions of Giaccardi inequality are derived along with the Petrović inequality as a particular case. In application point of view, newly established inequalities are derived for different time scales.http://dx.doi.org/10.1155/2022/4145336 |
| spellingShingle | Dong Chen Dina Abuzaid Atiq Ur Rehman Aqsa Rani Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results Journal of Mathematics |
| title | Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results |
| title_full | Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results |
| title_fullStr | Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results |
| title_full_unstemmed | Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results |
| title_short | Giaccardi Inequality for s-Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results |
| title_sort | giaccardi inequality for s convex functions in the second sense for isotonic linear functionals and associated results |
| url | http://dx.doi.org/10.1155/2022/4145336 |
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