Zobrazeno 1 - 10 of 17 pro vyhledávání: '"Yu. A. Brudnyi"'
2
Polynomial approximation in convex domains
Autor: Yu. A. Brudnyi
Publikováno v: Journal of Approximation Theory. 236:36-53
We study the phenomenon of strengthening rate of polynomial approximation near boundary points of a convex domain. The main result of the paper presents this type of approximation near conic boundary points of these domains while Gopengauz’s counte
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a4342ef6d1a054af6cb49fc5462ba0c1
https://doi.org/10.1016/j.jat.2018.08.001
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3
Nonlinear piecewise polynomial approximation and multivariate BV spaces of a Wiener–L. Young type. I
Autor: Yu. A. Brudnyi
Publikováno v: Journal of Approximation Theory. 218:9-41
The named space denoted by V p q k consists of L q functions on [ 0 , 1 ) d of bounded p -variation of order k ∈ N . It generalizes the classical spaces V p ( 0 , 1 ) ( = V p ∞ 1 ) and B V ( = [ 0 , 1 ) d ) ( V 1 q 1 where q ≔ d d − 1 ) and i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fb1d4ead32f330dda710c2149cb0dd74
https://doi.org/10.1016/j.jat.2017.03.002
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6
On an approximation family of discrete polynomial operators
Autor: I. E. Gopengauz, Yu. A. Brudnyi
Publikováno v: Journal of Approximation Theory. 164:938-953
We present a new family of linear discrete polynomial operators giving a Timan type approximation theorem for functions of arbitrary smoothness. Using this we construct two families of operators of this kind to extend Freud type approximation results
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::622eda9b22b92ca42a10e1c64b161f55
https://doi.org/10.1016/j.jat.2012.03.007
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7
Interpolation of several multiparametric approximation spaces
Autor: Yu. A. Brudnyi, I. Asekritova
Publikováno v: Journal of Approximation Theory. 129(2):182-206
We prove a general interpolation theorem for linear operators acting simultaneously in several approximation spaces which are defined by multiparametric approximation families. As a consequence, we obtain interpolation results for finite families of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::577fabdd8cb6b9c6d44e1937cd55a58f
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8
Stability of the Lipschitz extension property under metric transforms
Autor: Yu. A. Brudnyi, Pavel Shvartsman
Publikováno v: Geometric And Functional Analysis. 12:73-79
We show that the linear and nonlinear Lipschitz extension properties of a metric space are not changed when the original metric is replaced by a new metric obtained by composition with an arbitrary concave function.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69ad167d983f7fb57df05fb9ece3689a
https://doi.org/10.1007/s00039-002-8237-9
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9
Adaptive Approximation of Functions with Singularities
Autor: Yu. A. Brudnyi
Publikováno v: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique ISBN: 9783034856867
The paper describes some results on nonlinear spline approximation of univariate and multivariate functions with singularities obtained by the author partly in collaboration with I.P. Irodova.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2af8d7312c63857348e1863c87e9e21d
https://doi.org/10.1007/978-3-0348-5685-0_1
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