On Müntz rational approximation in multivariables

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

The present paper shows that for any

s

sequences of real numbers, each with infinitely many distinct elements,

{λ_{n}^{j}}

, j=1,...,s, the rational combinations of

x_{1}^{λ_{m_{1}}^{1}} x_{2}^{λ_{m_{2}}^{2}} ... x_{s}^{λ_{m_{s}}^{s}}

are always dense in

C_{I^{s}}

.

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