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
International Journal of Theoretical and Applied Research
Volume 3, Issue 2, December 2024, Page 463-480 PDF (374.59 K)
Document Type: Original Article
DOI: 10.21608/ijtar.2025.344249.1098
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Authors
doaa M. Abdou ¹; Afaf s, Zaghrout²; Samir H. Saker³; Haytham M. Rezk⁴
¹Department of mathematics - faculty of science (girls branch) - al - azhar university
²Department of Mathematics, Faculty of Science, Al-Azhar University, (girls branch) 11651, Egypt
³Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura 7723730, Egypt
⁴⁴ Department of Mathematics, Faculty of Science, Al-Azhar University 11884, Egypt
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
Key words and phrases. Hardy-type inequalities with negative parameter; Copson-type inequalities with negative parameter; Chain rule; Reversed Hölder's inequality; Integration by parts on time scales


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