Generalised Simultaneous Approximation of Functions

A. J. Van Der Poorten

doi:10.1017/S1446788700033292

Generalised Simultaneous Approximation of Functions

A. J. Van Der Poorten^*

^*Corresponding author for this work

Macquarie University Administration Unit

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	50-61
Number of pages	12
Journal	Journal of the Australian Mathematical Society
Volume	51
Issue number	1
DOIs	https://doi.org/10.1017/S1446788700033292
Publication status	Published - 1991

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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{\textquoteright} normality zig-zag theorem. The theory sketched here may have application to constructions important in the theory of diophantine approximation.",

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AB - 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.

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