Error bounds of a function related to generalized Lipschitz class via the pseudo-Chebyshev wavelet and its applications in the approximation of functions

Autor:	S. Lal, S. Kumar, S.K. Mishra, A.K. Awasthi
Jazyk:	English<br />Ukrainian
Rok vydání:	2022
Předmět:	lip${}_{[0 1)}\alpha$ class of functions lip${}_{[0 1)}\xi$ class of functions wavelet multiresolution analysis pseudo-chebyshev function pseudo-chebyshev wavelet Mathematics QA1-939
Zdroj:	Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 1, Pp 29-48 (2022)
Druh dokumentu:	article
ISSN:	2075-9827 2313-0210
DOI:	10.15330/cmp.14.1.29-48
Popis:	In this paper, a new computation method derived to solve the problems of approximation theory. This method is based upon pseudo-Chebyshev wavelet approximations. The pseudo-Chebyshev wavelet is being presented for the first time. The pseudo-Chebyshev wavelet is constructed by the pseudo-Chebyshev functions. The method is described and after that the error bounds of a function is analyzed. We have illustrated an example to demonstrate the accuracy and efficiency of the pseudo-Chebyshev wavelet approximation method and the main results. Four new error bounds of the function related to generalized Lipschitz class via the pseudo-Chebyshev wavelet are obtained. These estimators are the new fastest and best possible in theory of wavelet analysis.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e028d650093a459d8de2bbe367cca590 Zobrazit plný text záznamu View record in DOAJ