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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 41A25

Retrieve articles in all journals with MSC: 41A25


Additional Information

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