New characterizations of weights in dynamic inequalities of Hardy's type on time scales

Authors

MARIO KRNICFollow
MAHMOUD M. OSMANFollow
SAMIR H. SAKERFollow

Author ORCID Identifier

MARIO KRNIC: 0000-0002-1140-7629

MAHMOUD OSMAN: 0000-0002-0899-7912

SAMIR SAKER: 0000-0003-2793-0972

Abstract

The main aim of this paper is to establish some new characterizations of the weights in Hardy-type dynamic inequality, dual Hardy-type inequality, andreverse Hardy-type dynamic inequality on time scales. Some integral and discrete inequalities due to Copson, Leindler, and Hyun and Kim will bededuced as special cases. Moreover, new dynamic inequalities via convexity are proved.

DOI

10.55730/1300-0098.3600

Keywords

Hardy's operator, Hardy's inequality, dynamic inequalities, Time scales

First Page

439

Last Page

456

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

KRNIC, M, OSMAN, M. M, & SAKER, S. H (2025). New characterizations of weights in dynamic inequalities of Hardy's type on time scales. Turkish Journal of Mathematics 49 (4): 439-456. https://doi.org/10.55730/1300-0098.3600