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Zeitschrift für Analysis und ihre Anwendungen

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Volume 10, Issue 2, 1991, pp. 239–250
DOI: 10.4171/ZAA/447

Published online: 1991-06-30

Accelerating Convergence of Univariate and Bivariate Fourier Approximations

Manfred Tasche[1]

(1) Universität Rostock, Germany

Some new results concerning the accelerating convergence of univarlate and bivariate Fourier expansions are presented. The rate of convergence is estimated with respect to the uniform norm.This acceleration method is a combination of algebraic and trigonometric approximation. Note that the abstract Taylor formula is an essential tool of this approach.

Keywords: Trigonometric approximation and interpolation, Krylov-Lanczos method, accelerating convergence of Fourier expansions

Tasche Manfred: Accelerating Convergence of Univariate and Bivariate Fourier Approximations. Z. Anal. Anwend. 10 (1991), 239-250. doi: 10.4171/ZAA/447