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Inequalities of Hardy-type for Multiple Integrals on Time Scales

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Title: Inequalities of Hardy-type for Multiple Integrals on Time Scales

Authors: Dawood Ahmad, Khuram Ali Khan, Ammara Nosheen

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2021

Volume: 17

Issue: 1

Language: English

Keywords: Hardy-type inequalitiestime scalesmultiple integrals

Categories
Analysis (236) Calculus (39) Mathematics (5170) Inequalities (60) Real Analysis (10)

Abstract

We extend some inequalities of Hardy-type on time scales for functions depending on more than one parameter. The results are proved by using induction principle, properties of integrals on time scales, chain rules for composition of two functions, Hölder’s inequality and Fubini’s theorem in time scales settings.

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