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Proceedings of the American Mathematical Society

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



The Zygmund condition for polygonal approximation

Author: D. J. Newman
Journal: Proc. Amer. Math. Soc. 45 (1974), 303-304
MSC: Primary 41A25
MathSciNet review: 0361553
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Abstract: We investigate the class of functions which can be uniformly approximated to within $ O(1/n)$ by a canonical choice of piecewise ($ n$-piece) linear functions. The class turns out identical to the Zygmund class.

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Keywords: Approximation, Zygmund class, piecewise linear functions
Article copyright: © Copyright 1974 American Mathematical Society

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