On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes

Autor:	S. H. Saker, S. S. Rabie, R. P. Agarwal
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Discrete refinements inequalities Discrete Muckenhoupt class Self-improving property Discrete Gehring class Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-19 (2021)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-021-02702-y
Popis:	Abstract In this paper, first we prove some new refinements of discrete weighted inequalities with negative powers on finite intervals. Next, by employing these inequalities, we prove that the self-improving property (backward propagation property) of the weighted discrete Muckenhoupt classes holds. The main results give exact values of the limit exponents as well as the new constants of the new classes. As an application, we establish the self-improving property (forward propagation property) of the discrete Gehring class.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/09e39b18fef94f6da20a1229bc0921df Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.