A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales

This study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations of reverse Hilbert-type inequalities via supermultiplicative functions on time scales by applying reverse Hölder inequalities. The main results will be proved by using Sp...

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Main Authors: M. Zakarya, Ahmed I.Saied, Ghada AlNemer, H. M. Rezk
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/6285367
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author M. Zakarya
Ahmed I.Saied
Ghada AlNemer
H. M. Rezk
author_facet M. Zakarya
Ahmed I.Saied
Ghada AlNemer
H. M. Rezk
author_sort M. Zakarya
collection DOAJ
description This study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations of reverse Hilbert-type inequalities via supermultiplicative functions on time scales by applying reverse Hölder inequalities. The main results will be proved by using Specht’s ratio, chain rule, and Jensen’s inequality. Our results (when T=ℕ) are essentially new.
format Article
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institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-7f31f86094e1490bb5c7b2f39758f81f2025-02-03T06:04:45ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6285367A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time ScalesM. Zakarya0Ahmed I.Saied1Ghada AlNemer2H. M. Rezk3King Khalid UniversityDepartment of MathematicsDepartment of Mathematical ScienceDepartment of MathematicsThis study develops the study of reverse Hilbert-type inequalities on time scales where we can establish some new generalizations of reverse Hilbert-type inequalities via supermultiplicative functions on time scales by applying reverse Hölder inequalities. The main results will be proved by using Specht’s ratio, chain rule, and Jensen’s inequality. Our results (when T=ℕ) are essentially new.http://dx.doi.org/10.1155/2022/6285367
spellingShingle M. Zakarya
Ahmed I.Saied
Ghada AlNemer
H. M. Rezk
A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
Journal of Mathematics
title A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
title_full A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
title_fullStr A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
title_full_unstemmed A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
title_short A Study on Some New Reverse Hilbert-Type Inequalities and Its Generalizations on Time Scales
title_sort study on some new reverse hilbert type inequalities and its generalizations on time scales
url http://dx.doi.org/10.1155/2022/6285367
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