Research output: Contribution to journal › Article › peer-review
A weighted estimate of best approximations in L2(Ω). / Dem'yanovich, Yu K.
In: Mathematical Notes of the Academy of Sciences of the USSR, Vol. 22, No. 2, 08.1977, p. 627-633.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - A weighted estimate of best approximations in L2(Ω)
AU - Dem'yanovich, Yu K.
PY - 1977/8
Y1 - 1977/8
N2 - The best approximation[Figure not available: see fulltext.] [in the space L2(Ω)] of a function f, satisfying a Lipschitz condition with exponent α, 0≤α≤1, with the aid of certain spaces of local functions, dependent on a parameter h, is discussed. We obtain the estimate {Mathematical expression}, where {Mathematical expression} and r = r(x) is the distance of the point x from the boundary of the domain Ω.
AB - The best approximation[Figure not available: see fulltext.] [in the space L2(Ω)] of a function f, satisfying a Lipschitz condition with exponent α, 0≤α≤1, with the aid of certain spaces of local functions, dependent on a parameter h, is discussed. We obtain the estimate {Mathematical expression}, where {Mathematical expression} and r = r(x) is the distance of the point x from the boundary of the domain Ω.
UR - http://www.scopus.com/inward/record.url?scp=34250287173&partnerID=8YFLogxK
U2 - 10.1007/BF01780972
DO - 10.1007/BF01780972
M3 - Article
AN - SCOPUS:34250287173
VL - 22
SP - 627
EP - 633
JO - Mathematical Notes
JF - Mathematical Notes
SN - 0001-4346
IS - 2
ER -
ID: 53485856