On the Approximation by Balázs–Szabados Operators

Autor:	Adrian Holhoş
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	positive linear operators Balázs operators rational Bernstein type operators weighted spaces modulus of continuity tail inequality Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 14, p 1588 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9141588
Popis:	We present three new approximation properties of the Balázs–Szabados operators. Firstly, we prove that, in certain cases, these operators approximate some super-exponential functions on compact intervals. Next, we provide a new estimate of the error of approximation using a suitable modulus of continuity. Finally, we characterize the functions which can be uniformly approximated in the weighted norm of polynomial weight spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c5b80fabfa6749338e1262c32596e62c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF