Perfect approximation of functions

A. J. Van Der Poorten

Research output: Contribution to journalArticleResearchpeer-review

Abstract

There are only isolated instances of vectors of functions for which it is possible to obtain an explicit expression for the remainder functions obtained upon approximating by polynomials in the manner described by Mahler in his paper “Perfect systems”, Compositio Math. 19 (1968). We display appropriate identities and point to a pattern amongst these which suggests we should not expect convenient generalization to wider classes of functions. Proofs of perfectness do not require laborious computation but are immediate from the identities given.

LanguageEnglish
Pages117-126
Number of pages10
JournalBulletin of the Australian Mathematical Society
Volume5
Issue number1
DOIs
Publication statusPublished - 1971

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Approximation of Functions
Remainder
Polynomial

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Van Der Poorten, A. J. / Perfect approximation of functions. In: Bulletin of the Australian Mathematical Society. 1971 ; Vol. 5, No. 1. pp. 117-126.
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Perfect approximation of functions. / Van Der Poorten, A. J.

In: Bulletin of the Australian Mathematical Society, Vol. 5, No. 1, 1971, p. 117-126.

Research output: Contribution to journalArticleResearchpeer-review

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