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Walsh Equiconvergence of Complex Interpolating Polynomials

Specificaties
Paperback, 298 blz. | Engels
Springer Netherlands | 0e druk, 2010
ISBN13: 9789048170609
Rubricering
Springer Netherlands 0e druk, 2010 9789048170609
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

1) but not in|z|? ?, then the di?erence between the Lagrange interpolant to it th in the n roots of unity and the partial sums of degree n? 1 of the Taylor 2 series about the origin, tends to zero in a larger disc of radius ? , although both operators converge to f(z) only for|z|

Specificaties

ISBN13:9789048170609
Taal:Engels
Bindwijze:paperback
Aantal pagina's:298
Uitgever:Springer Netherlands
Druk:0

Inhoudsopgave

Lagrange Interpolation and Walsh Equiconvergence.- Hermite and Hermite-Birkhoff Interpolation and Walsh Equiconvergence.- A Generalization of the Taylor Series to Rational Functions and Walsh Equiconvergence.- Sharpness Results.- Converse Results.- Padé Approximation and Walsh Equiconvergence for Meromorphic Functions with ?–Poles.- Quantitative Results in the Equiconvergence of Approximation of Meromorphic Functions.- Equiconvergence for Functions Analytic in an Ellipse.- Walsh Equiconvergence Theorems for the Faber Series.- Equiconvergence on Lemniscates.- Walsh Equiconvergence and Equisummability.

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        Walsh Equiconvergence of Complex Interpolating Polynomials