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Fractional Reverse Coposn's Inequalities via Conformable Calculus on Time Scales.

Authors :
Zakarya, Mohammed
Altanji, Mohamed
AlNemer, Ghada
Abd El-Hamid, Hoda A.
Cesarano, Clemente
M. Rezk, Haytham
Rașa, Ioan
Du, Wei-Shih
Source :
Symmetry (20738994). Apr2021, Vol. 13 Issue 4, p542. 1p.
Publication Year :
2021

Abstract

This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson's type inequalities on time scales. The main results will be proved using a general algebraic inequality, chain rule, Hölder's inequality, and integration by parts on fractional time scales. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. In addition, when α = 1, we obtain some well-known time scale inequalities due to Hardy, Copson, Bennett, and Leindler inequalities. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
13
Issue :
4
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
150433943
Full Text :
https://doi.org/10.3390/sym13040542