Publications of (and about) Paul Erdös
Autor: Erdös, Paul; Reddy, A.R.
Title: Müntz's theorem and rational approximation. (In English)
Source: J. Approximation Theory 17, 393-394 (1976).
Review: The authors prove a Müntz type theorem, using the usual Müntz-Szaz theorem, for approximating the reciprocal of a nonvanishing continuous functions f with reciprocals of polynomials in xnk on the positive real axis. The result is that reciprocals of these polynomials are dense in the class of 1/f with limit 0 at infinity if the usual conditions \Sigma1/nk diverges is satisfied.
Classif.: * 41A20 Approximation by rational functions
41A30 Approximation by other special function classes
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