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Approximation of Functions on [−1,1] and Their Derivatives by Polynomial Projection Operators

✍ Scribed by K. Balázs; T. Kilgore

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
241 KB
Volume
162
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ__C__^q^[‐1,1] and its derivatives f^(1)^, …, f^(q)^ by means of an arbitrary sequence of bounded linear projection operators L~n~ which map C[‐1,1] into the polynomials of degree at most n, augmented by the interpolation of f at some points near ± 1.

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