Geodesic
An algorithm of nonlinear approximation by piecewise polynomials
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 311-325
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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. 
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     author = {Yu. Brudnyi and Inna Kozlov},
     title = {An algorithm of nonlinear approximation by piecewise polynomials},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {311--325},
     year = {2002},
     volume = {9},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a0/}
}
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Yu. Brudnyi; Inna Kozlov. An algorithm of nonlinear approximation by piecewise polynomials. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 311-325. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a0/