Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis

Roland Girgensohn; Jürgen Prestin

doi:10.1023/A:1010144101402

Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis

Roland Girgensohn^*, Jürgen Prestin

^*Corresponding author for this work

Institute of Mathematics

Helmholtz Zentrum München - Deutsches Forschungszentrum für Gesundheit und Umwelt

9 Citations (Scopus)

Abstract

We examine a certain class of Schauder bases for the space C[-1, 1] consisting of algebraic polynomials orthogonal with respect to the Chebycheff weight of the first kind. We give an improved estimate for its Lebesgue constants.

Original language	English
Journal	Journal of Computational Analysis and Applications
Volume	2
Issue number	2
Pages (from-to)	159-175
Number of pages	17
ISSN	1521-1398
DOIs	https://doi.org/10.1023/A:1010144101402
Publication status	Published - 01.01.2000

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abstract = "We examine a certain class of Schauder bases for the space C[-1, 1] consisting of algebraic polynomials orthogonal with respect to the Chebycheff weight of the first kind. We give an improved estimate for its Lebesgue constants.",

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AU - Prestin, Jürgen

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AB - We examine a certain class of Schauder bases for the space C[-1, 1] consisting of algebraic polynomials orthogonal with respect to the Chebycheff weight of the first kind. We give an improved estimate for its Lebesgue constants.

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M3 - Journal articles

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JO - Journal of Computational Analysis and Applications

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Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis

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