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Walsh Equiconvergence of Complex Interpolating Polynomials von Jakimovski, A. (eBook)

  • Erscheinungsdatum: 16.05.2007
  • Verlag: Springer-Verlag
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Walsh Equiconvergence of Complex Interpolating Polynomials

This book is a collection of the various old and new results, centered around the following simple and beautiful observation of J.L. Walsh - If a function is analytic in a finite disc, and not in a larger disc, then the difference between the Lagrange interpolant of the function, at the roots of unity, and the partial sums of the Taylor series, about the origin, tends to zero in a larger disc than the radius of convergence of the Taylor series, while each of these operators converges only in the original disc. This book will be particularly useful for researchers in approximation and interpolation theory.


    Format: PDF
    Kopierschutz: AdobeDRM
    Seitenzahl: 298
    Erscheinungsdatum: 16.05.2007
    Sprache: Englisch
    ISBN: 9781402041754
    Verlag: Springer-Verlag
    Größe: 3883kBytes
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