Unboundedness of the Lipschitz Constants of Best Polynomial Approximation

Author: Gehlen W.

Source: Journal of Approximation Theory, Volume 106, Number 1, September 2000 , pp. 110-142(33)

Publisher: Academic Press

Abstract:

Let fC[-1, 1] be real-valued. We consider the Lipschitz constants L_n(f) of the operators of best uniform polynomial approximation of degree n, n. It is proved that lim sup_n L_n(f)=, whenever f is not a polynomial. Copyright 2000 Academic Press.

Language: English

Document Type: Research article

Affiliations: Fachbereich 4, Mathematik, Universität Trier, Trier, D-54286, Germany

Publication date: 2000-09-01

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