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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Counterexamples in best approximation


Author: S. J. Poreda
Journal: Proc. Amer. Math. Soc. 56 (1976), 167-171
MSC: Primary 41A50; Secondary 30A82
DOI: https://doi.org/10.1090/S0002-9939-1976-0402362-4
MathSciNet review: 0402362
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Abstract: Several counterexamples for approximation to continuous functions by polynomials are given. One example shows that the points of maximum deviation of a continuous real valued function on an interval from its polynomial of degree $ n$ of best uniform approximation can lie on any monotone sequence contained in that interval for infinitely many $ n$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0402362-4
Keywords: Best uniform polynomial approximation
Article copyright: © Copyright 1976 American Mathematical Society