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2020 Best Local Weighted Approximation. An Approach with Abstract Seminorms
Claudia V. Ridolfi
Real Anal. Exchange 45(2): 265-282 (2020). DOI: 10.14321/realanalexch.45.2.0265

Abstract

We extend results given by Zó and Cuenya in 2007 about a general approach to problems of best vector-valued approximation on small regions from a finite dimensional subspace of polynomials of some degree. This approach is called best local approximation. We consider a weighted local approximation of a vector-valued function on the origin and a weighted best local approximation of a real-valued function on several points, similar to classical problems in best local approximation with balanced neighborhood.

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Claudia V. Ridolfi. "Best Local Weighted Approximation. An Approach with Abstract Seminorms." Real Anal. Exchange 45 (2) 265 - 282, 2020. https://doi.org/10.14321/realanalexch.45.2.0265

Information

Published: 2020
First available in Project Euclid: 30 June 2020

zbMATH: 07229048
Digital Object Identifier: 10.14321/realanalexch.45.2.0265

Subjects:
Primary: 41A10 , 41A65
Secondary: 26A05

Keywords: abstract norms , Best local weighted approximation

Rights: Copyright © 2020 Michigan State University Press

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Vol.45 • No. 2 • 2020
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