Some Remarks on Rational Müntz Approximation on [0,∞)
Volume 77 / 1998
Colloquium Mathematicum 77 (1998), 233-243
DOI: 10.4064/cm-77-2-233-243
Abstract
The following result is proved in the present paper: Let ${λ_{n}}$ be an increasing sequence of distinct real numbers which approaches a finite limit λ as n goes to infinity and for which $$ \limsup_{n\to\infty}(λ-λ_{n})\root{3}οf{n}=\infty. $$ Then the rational combinations of ${x^{λ_{n}}}$ form a dense set in $C_{[0,∞]}$. One could note that the method used in this paper is probably more interesting than the result itself.
