Constrained approximation in Sobolev spaces

Y. K. Hu; K. A. Kopotun; X. M. Yu

doi:10.4153/CJM-1997-004-2

Constrained approximation in Sobolev spaces

Y. K. Hu, K. A. Kopotun, X. M. Yu

Mathematical Sciences

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

11 Scopus citations

Abstract

Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions f ∈ W^k_p[-1, 1] are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.

Original language	English
Pages (from-to)	74-99
Number of pages	26
Journal	Canadian Journal of Mathematics
Volume	49
Issue number	1
DOIs	https://doi.org/10.4153/CJM-1997-004-2
State	Published - Feb 1997

Scopus Subject Areas

General Mathematics

Keywords

Constrained approximation
Degree of approximation
L space
Polynomials
Sobolev space
Splines

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10.4153/CJM-1997-004-2

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title = "Constrained approximation in Sobolev spaces",

abstract = "Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions f ∈ Wkp[-1, 1] are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.",

keywords = "Constrained approximation, Degree of approximation, L space, Polynomials, Sobolev space, Splines",

author = "Hu, {Y. K.} and Kopotun, {K. A.} and Yu, {X. M.}",

year = "1997",

month = feb,

doi = "10.4153/CJM-1997-004-2",

language = "English",

volume = "49",

pages = "74--99",

journal = "Canadian Journal of Mathematics",

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T1 - Constrained approximation in Sobolev spaces

AU - Hu, Y. K.

AU - Kopotun, K. A.

AU - Yu, X. M.

PY - 1997/2

Y1 - 1997/2

N2 - Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions f ∈ Wkp[-1, 1] are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.

AB - Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions f ∈ Wkp[-1, 1] are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.

KW - Constrained approximation

KW - Degree of approximation

KW - L space

KW - Polynomials

KW - Sobolev space

KW - Splines

UR - http://www.scopus.com/inward/record.url?scp=0031518146&partnerID=8YFLogxK

U2 - 10.4153/CJM-1997-004-2

DO - 10.4153/CJM-1997-004-2

M3 - Article

AN - SCOPUS:0031518146

SN - 0008-414X

VL - 49

SP - 74

EP - 99

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 1

ER -

Constrained approximation in Sobolev spaces

Abstract

Scopus Subject Areas

Keywords

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