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Fractional Reverse Coposn's Inequalities via Conformable Calculus on Time Scales.
- 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]
- Subjects :
- *FRACTIONAL integrals
*INTEGRAL inequalities
*CALCULUS
*FRACTIONAL calculus
Subjects
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