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.
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2020-08-01
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Series: | Advances in Difference Equations |
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Online Access: | http://link.springer.com/article/10.1186/s13662-020-02857-w |
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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 |
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