Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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