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Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales.
- Source :
-
Aequationes Mathematicae . Feb2021, Vol. 95 Issue 1, p125-146. 22p. - Publication Year :
- 2021
-
Abstract
- In this paper, we establish some conditions on nonnegative rd-continuous weight functions u x and υ x which ensure that a reverse dynamic inequality of the form ∫ a ∞ f p (x) υ x Δ x 1 p ≤ C ∫ a ∞ u x ∫ a σ x K σ x , σ y f (y) Δ y q Δ x 1 q , holds when q ≤ p < 0 and 0 < q ≤ p < 1. Corresponding dual results are also obtained. In particular, we prove some reverse dynamic weighted Hardy-type inequalities with kernels on time scales which as special cases contain some generalizations of integral and discrete inequalities due to Beesack and Heinig. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL inequalities
*HARDY spaces
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 95
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 148629619
- Full Text :
- https://doi.org/10.1007/s00010-020-00759-6