Staff Members - Benha University
SOME NEW GENERALIZATIONS OF WEIGHTED DYNAMIC HARDY–KNOPP TYPE INEQUALITIES WITH KERNELS
Journal of Mathematical Inequalities • 2021
Publication Information
Authors
Essam Awwad
Keywords
Hardy type inequality, Hardy-Knopp type inequalities, time scales, weighted
functions, inequalities.
Journal
Journal of Mathematical Inequalities
Publisher
ele math
Volume
15
Issue
4
Pages
1561–1579
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, we establish some new generalizations of weighted dynamic HardyKnopp type inequalities with kernels on time scales and also, some new characterizations of the
weights for these inequalities in different spaces. The main results will be proved by using the
H¨ older inequality, the Jensen inequality and the Minkowski inequality. These inequalities (when
T = R) contain the characterization of Kaijser, Nikolova, Persson and Wedestig. Also, (when
T = N) our results are essentially new.
weights for these inequalities in different spaces. The main results will be proved by using the
H¨ older inequality, the Jensen inequality and the Minkowski inequality. These inequalities (when
T = R) contain the characterization of Kaijser, Nikolova, Persson and Wedestig. Also, (when
T = N) our results are essentially new.