Detection of singularities using segment approximation-Reference-Cited by-同舟云学术

Detection of singularities using segment approximation

Published:1992 Issue:200 Volume:59 Page:533-540
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Grothmann R.,Mhaskar H. N.

Abstract

We discuss best segment approximation (with free knots) by polynomials to piecewise analytic functions on a real interval. It is shown that, if the degree of the polynomials tends to infinity and the number of knots is the same as the number of singularities of the function, then the optimal knots converge geometrically fast to the singularities. When the degree is held fixed and the number of knots tends to infinity, we study the asymptotic distribution of the optimal knots.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1992-59-200/S0025-5718-1992-1145662-2/S0025-5718-1992-1145662-2.pdf

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