Canonical sets of best \(L_1\)-approximation

DOI10.1155/2012/435945zbMath1259.41037OpenAlexW2098376290WikidataQ58908264 ScholiaQ58908264MaRDI QIDQ1757910

Dimiter P. Dryanov, Petar P. Petrov

Publication date: 7 November 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/435945

zbMATH Keywords

blending functions\(L_1\)-best approximationHaar-Chebyshev systems

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions
• Approximation theory in tensor product spaces
• Blending interpolation and best \(L^1\)-approximation
• A practical guide to splines
• On domains in which harmonic functions satisfy generalized mean value properties
• Best one-sided \(L^1\)-approximation of bivariate functions by sums of univariate ones
• Best one-sided \(L^1\)-approximation by blending functions of order \((2,2)\)
• Transfinite interpolation on the medians of a triangle and best \(L^1\)-approximation
• On polynomials of best one sided approximation
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Best Harmonic L ¹ Approximation to Subharmonic Functions
• On the Mean Value Property of Harmonic Functions and Best Harmonic L 1 -Approximation
• Some best-approximation theorems in tensor-product spaces
• The Approximation of Certain Functions of Several Variables by Sums of Functions of Fewer Variables
• One-sided approximation of functions