Some reverse inequalities of Hardy type on time scales

Abstract In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales. We apply the main results to the continuous calculus, discrete calculus, and q-calculus as special cases.

Bibliographic Details
Main Authors: A. A. El-Deeb, H. A. El-Sennary, Zareen A. Khan
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02857-w
id doaj-5c8f832ff8774098be84238ad5759c1b
record_format Article
spelling doaj-5c8f832ff8774098be84238ad5759c1b2020-11-25T03:52:42ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020111810.1186/s13662-020-02857-wSome reverse inequalities of Hardy type on time scalesA. A. El-Deeb0H. A. El-Sennary1Zareen A. Khan2Department of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Princess Nourah bint Abdulrahman UniversityAbstract In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales. We apply the main results to the continuous calculus, discrete calculus, and q-calculus as special cases.http://link.springer.com/article/10.1186/s13662-020-02857-wReverse Hardy’s inequalityDynamic inequalityTime scale
collection DOAJ
language English
format Article
sources DOAJ
author A. A. El-Deeb
H. A. El-Sennary
Zareen A. Khan
spellingShingle A. A. El-Deeb
H. A. El-Sennary
Zareen A. Khan
Some reverse inequalities of Hardy type on time scales
Advances in Difference Equations
Reverse Hardy’s inequality
Dynamic inequality
Time scale
author_facet A. A. El-Deeb
H. A. El-Sennary
Zareen A. Khan
author_sort A. A. El-Deeb
title Some reverse inequalities of Hardy type on time scales
title_short Some reverse inequalities of Hardy type on time scales
title_full Some reverse inequalities of Hardy type on time scales
title_fullStr Some reverse inequalities of Hardy type on time scales
title_full_unstemmed Some reverse inequalities of Hardy type on time scales
title_sort some reverse inequalities of hardy type on time scales
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-08-01
description Abstract In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales. We apply the main results to the continuous calculus, discrete calculus, and q-calculus as special cases.
topic Reverse Hardy’s inequality
Dynamic inequality
Time scale
url http://link.springer.com/article/10.1186/s13662-020-02857-w
work_keys_str_mv AT aaeldeeb somereverseinequalitiesofhardytypeontimescales
AT haelsennary somereverseinequalitiesofhardytypeontimescales
AT zareenakhan somereverseinequalitiesofhardytypeontimescales
_version_ 1724481418554245120