J Austral Math Soc Ser A 55 pp232--237, 1993.

Tubular Sets and Multivariate Polya Algorithm

Robert Huotari

(Received 11 January 1991; revised 10 October 1991)

Abstract

Some new results concerning tubular sets are presented, with applications to the convergence of the Polya algorithm in the contexts of simultaneous approximation and approximation of multivariate functions by univariate functions. (The Polya algorithm constructs a best uniform approximation from the limit, as p ® ¥, of best Lp approximations.

1991 AMS Subject Classification: 41A30, 41A63

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Authors

Robert Huotari
Idaho State University, Pocatello, Idaho 83209, USA.

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