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Simultaneous Approximation by Polynomial Projection Operators

✍ Scribed by T. F. Xie; S. P. Zhou

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 490 KB
Volume: 181
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.3211810113

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✦ Synopsis

Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C I -~, ~~ into polynomials of degree n, augmented by the interpolation off at some points near f 1. The p w e n t result essentially improved those in [BaKi3], and several applications are discussed in Section 4. 1991 Moihcmaiics Subjcci Claarificaiion. 41A05 41A10 41A28 41A35.

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