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. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1814 |
| Identification Number: | https://doi.org/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: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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