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

Autor:	Ramy R. Mahmoud, Samir H. Saker, K. R. Abdo
Rok vydání:	2021
Předmět:	Pure mathematics Inequality Applied Mathematics media_common.quotation_subject Type (model theory) Hardy’s inequality Time scales QA1-939 Discrete Mathematics and Combinatorics Higher-order derivatives Mathematics Analysis Higher order derivatives media_common
Zdroj:	Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-17 (2021)
ISSN:	1029-242X
Popis:	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 $\mathbb{T=R}$ T = R and $\mathbb{T=N}$ 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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40e15009a67e87c907e8a4a255bc8bf2 https://doi.org/10.1186/s13660-021-02633-8 Zobrazit plný text záznamu Full text from SpringerLink