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On the Distribution of Alternation Points in Uniform Polynomial Approximation of Entire Functions

โœ Scribed by Wolfgang Gehlen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
255 KB
Volume
94
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

We consider the distribution of alternation points in best real polynomial approximation of a function f # C[&1, 1]. For entire functions f we look for structural properties of f that will imply asymptotic equidistribution of the corresponding alternation points.

๐Ÿ“œ SIMILAR VOLUMES

On the Convergence of Polynomial Approxi
On the Convergence of Polynomial Approximation of Rational Functions
โœ Guo-Jin Wang; Thomas W. Sederberg; Falai Chen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 389 KB

This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation converges if all eigenvalue moduli of a certain r\_r