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Walsh Equiconvergence of Complex Interpolating Polynomials

Paperback Engels 2010 9789048170609
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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

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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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€ 60,99
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          Walsh Equiconvergence of Complex Interpolating Polynomials