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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 352.41013

**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 x^{nk} 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/n_{k} diverges is satisfied.

**Reviewer: ** J.Karlsson

**Classif.: ** * 41A20 Approximation by rational functions

41A30 Approximation by other special function classes

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