Generalised Simultaneous Approximation of Functions

A. J. Van Der Poorten*

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We generalise the approximation theory described in Mahler's paper “Perfect Systems” to linked simultaneous approximations and prove the existence of nonsingular approximation and of transfer matrices by generalising Coates’ normality zig-zag theorem. The theory sketched here may have application to constructions important in the theory of diophantine approximation.

Original languageEnglish
Pages (from-to)50-61
Number of pages12
JournalJournal of the Australian Mathematical Society
Volume51
Issue number1
DOIs
Publication statusPublished - 1991

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