Convergence of the Bernstein–Durrmeyer Operators in Variation Seminorm

Autor:	Fatma Taşdelen Yeşildal, Özlem Öksüzer Yılık, Harun Karsli
Rok vydání:	2017
Předmět:	Property (philosophy) Applied Mathematics 010102 general mathematics Space (mathematics) 01 natural sciences 010101 applied mathematics Mathematics (miscellaneous) Variation (linguistics) Rate of convergence Convergence (routing) Bounded variation Applied mathematics 0101 mathematics Mathematics::Representation Theory Mathematics
Zdroj:	Results in Mathematics. 72:1257-1270
ISSN:	1420-9012 1422-6383
DOI:	10.1007/s00025-017-0653-0
Popis:	The aim of this paper is to study variation detracting property and convergence in variation of the Bernstein–Durrmeyer modifications of the classical Bernstein operators in the space of functions of bounded variation. These problems are studied with respect to the variation seminorm. Moreover we also study the rate of convergence in terms of total variation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1e097928cc7e142f456118914617ba0d https://doi.org/10.1007/s00025-017-0653-0 Zobrazit plný text záznamu Full text from SpringerLink