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Constrained Approximation in Sobolev Spaces

Published online by Cambridge University Press:  20 November 2018

Y. K. Hu ,
K. A. Kopotun  and
X. M. Yu
Y. K. Hu
Affiliation:
Georgia Southern University, Statesboro, Georgia 30460, U.S.A.
K. A. Kopotun
Affiliation:
University of Alberta, Edmonton, Alberta, T6G 2G1
X. M. Yu
Affiliation:
Southwest Missouri State University, Springfield, Missouri 65804, U.S.A.
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Abstract

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

Keywords

41A1041A1541A2541A29Constrained approximationpolynomialssplinesdegree of approximationLp spaceSobolev space
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 1 , 01 February 1997 , pp. 74 - 99
Copyright
Copyright © Canadian Mathematical Society 1997

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