Direct computation of the simultaneous stone-weierstrass approximation of a function and its partial derivatives in banach spaces, and combination with hermite interpolation

J. Cl Evard, F. Jafari

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We present a new variant of the simultaneous Stone-Weierstrass approximation of a function and its partial derivatives, when the function takes its values in a Banach space, and provide an explicit and direct computation of this approximation. In the particular case of approximation by means of polynomials, we show that the simultaneous approximation can be required to be exact at a finite number of prescribed points.

Original languageEnglish (US)
Pages (from-to)351-363
Number of pages13
JournalJournal of Approximation Theory
Volume78
Issue number3
DOIs
StatePublished - 1994
Externally publishedYes

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