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# Constrained approximation in Sobolev spaces

Published:1997-02-01
Printed: Feb 1997
• Y. K. Hu
• K. A. Kopotun
• X. M. Yu
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## Abstract

Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions $f\in\Wp^k\mll$ are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.
 Keywords: Constrained approximation, polynomials, splines, degree of, approximation, $L_p$ space, Sobolev space
 MSC Classifications: 41A10 - Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10} 41A15 - Spline approximation 41A25 - Rate of convergence, degree of approximation 41A29 - Approximation with constraints

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