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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2002 Volume 9, Number 3, Pages 311–325 (Mi jmag295)

An algorithm of nonlinear approximation by piecewise polynomials

Yu. Brudnyia, Inna Kozlovb

a Department of Mathematics, Technion — Israel Institute of Technology, 32000 Haifa, Israel
b Technion – Israel Institute of Technology, 32000 Haifa, Israel

Abstract: We present a newly-developed version of the Up-and-Down Algorithm (UDA) designed for nonlinear approximation by piecewise polynomials, and establish the order of approximation by this algorithm in weighted $L_q$-spaces.

MSC: 42C15

Language: English



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