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Proceedings of the American Mathematical Society
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0361553-X
PII: S 0002-9939(1974)0361553-X
Keywords: Approximation, Zygmund class, piecewise linear functions
Article copyright: © Copyright 1974 American Mathematical Society