Some New Weighted Hardy-type Inequalities on Time Scales with Negative Exponents

Abdou, Doaa M.; Zaghrout, Afaf S,; Saker, Samir H.; Rezk, Haytham M.

doi:10.21608/ijtar.2025.344249.1098

Some New Weighted Hardy-type Inequalities on Time Scales with Negative Exponents

Document Type : Original Article

Authors

¹ Department of mathematics - faculty of science (girls branch) - al - azhar university

² Department of Mathematics, Faculty of Science, Al-Azhar University, (girls branch) 11651, Egypt

³ Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura 7723730, Egypt

⁴ ⁴ Department of Mathematics, Faculty of Science, Al-Azhar University 11884, Egypt

10.21608/ijtar.2025.344249.1098

Abstract

In this paper, we obtain some new Hardy-type inequalities with negative exponents on time scales. These inequalities, as a special case, when the time scale and contain some new integral and discrete inequalities with negative exponents. To the best of the authors' knowledge, the findings presented in this paper are assumed to be new in literature.

Keywords