On Jackson Type Inequalities for the Best Approximations of Periodic Functions

Autor:	V. V. Zhuk
Rok vydání:	2015
Předmět:	Statistics and Probability Approximations of π Applied Mathematics General Mathematics Mathematics::Classical Analysis and ODEs Type (model theory) Moduli Periodic function Algebra Jackson theorem Bibliography Order (group theory) Applied mathematics Trigonometry Mathematics
Zdroj:	Journal of Mathematical Sciences. 210:654-663
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-015-2584-1
Popis:	UDC 517.5 We develop a new approach to the proof of a generalized Jackson theorem providing an estimate for the best approximation by trigonometric polynomials with the help of the moduli of continuity of an arbitrary order. The proposed approach is based on approximation methods constructed by using Fejer and Jackson–Vallee - Poussin classical kernels. Bibliography :1 4titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c24a8736243a07100174857bb6d2f701 https://doi.org/10.1007/s10958-015-2584-1 Zobrazit plný text záznamu Plný text ve formátu PDF