Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives

Autor:	S. H. Saker, R. R. Mahmoud, K. R. Abdo
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Hardy’s inequality Higher-order derivatives Time scales Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-17 (2021)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-021-02633-8
Popis:	Abstract In this paper, we establish some necessary and sufficient conditions for the validity of a generalized dynamic Hardy-type inequality with higher-order derivatives with two different weighted functions on time scales. The corresponding continuous and discrete cases are captured when T = R $\mathbb{T=R}$ and T = N $\mathbb{T=N}$ , respectively. Finally, some applications to our main result are added to conclude some continuous results known in the literature and some other discrete results which are essentially new.
Databáze:	Directory of Open Access Journals
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