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Estimates of rate of convergence of best approximations by local functions. / Dem'yanovich, Yu K.

In: Journal of Soviet Mathematics, Vol. 13, No. 2, 01.02.1980, p. 202-215.

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Dem'yanovich, Yu K. / Estimates of rate of convergence of best approximations by local functions. In: Journal of Soviet Mathematics. 1980 ; Vol. 13, No. 2. pp. 202-215.

BibTeX

@article{e08f0ea2e999474cbcc17759ea5683f3,
title = "Estimates of rate of convergence of best approximations by local functions",
abstract = "Questions are considered on the rate of convergence (in some abstract space of functions) of approximations that are the best in another space. Under specific conditions it is shown that the best approximations by local functions in a weighted Sobolev space Wp,Br yield almost-best approximation in Wq,Br with q∈[p,+∞).",
author = "Dem'yanovich, {Yu K.}",
year = "1980",
month = feb,
day = "1",
doi = "10.1007/BF01296234",
language = "English",
volume = "13",
pages = "202--215",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Estimates of rate of convergence of best approximations by local functions

AU - Dem'yanovich, Yu K.

PY - 1980/2/1

Y1 - 1980/2/1

N2 - Questions are considered on the rate of convergence (in some abstract space of functions) of approximations that are the best in another space. Under specific conditions it is shown that the best approximations by local functions in a weighted Sobolev space Wp,Br yield almost-best approximation in Wq,Br with q∈[p,+∞).

AB - Questions are considered on the rate of convergence (in some abstract space of functions) of approximations that are the best in another space. Under specific conditions it is shown that the best approximations by local functions in a weighted Sobolev space Wp,Br yield almost-best approximation in Wq,Br with q∈[p,+∞).

UR - http://www.scopus.com/inward/record.url?scp=34250256055&partnerID=8YFLogxK

U2 - 10.1007/BF01296234

DO - 10.1007/BF01296234

M3 - Article

AN - SCOPUS:34250256055

VL - 13

SP - 202

EP - 215

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 53485745