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Pointwise bounded approximation by polynomials

O'Farrell, Anthony G. and Perez-Gonzalez, Fernando (1992) Pointwise bounded approximation by polynomials. Mathematical Proceedings of the Cambridge Philosophical Society, 112 (1). pp. 147-155. ISSN 1469-8064

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Abstract

This paper is about the possibility of approximating a function f ∈ H∞(U), using only polynomials which satisfy the same control as |f| on a prescribed subset S ⊂ U. This kind of approximation was first considered by O.J. Farrell, and has been studied by Rubel and Stray (cf. [4]).

Item Type: Article
Keywords: Polynomials; Bounded; Farrell pairs; Cornucopia.
Subjects: Science & Engineering > Mathematics
Item ID: 1814
Identification Number: 10.1017/S0305004100070821
Depositing User: Prof. Anthony O'Farrell
Date Deposited: 26 Jan 2010 12:59
Journal or Publication Title: Mathematical Proceedings of the Cambridge Philosophical Society
Publisher: Cambridge University Press
Refereed: Yes
URI:

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