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Pointwise estimates for Lagrange interpolation polynomials

โœ Scribed by T. F. Xie


Publisher
Akadmiai Kiad
Year
2007
Tongue
English
Weight
288 KB
Volume
117
Category
Article
ISSN
1588-2632

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We obtain a pointwise estimate of the deviation of a function from her Hermitian interpolating polynomial. 1994 Academic Press, Inc.

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An estimate due to Gaier [2] for the error committed in replacing a periodic function f by an interpblating trigonometric polynomial is sharpened in such a way that the estimate makes evident the interpolating property of the polynomial. A similar improvement is given for Gaier's estimate of the dif