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math.CA2006★ 4 cited
Uniform approximation of sgn(x) by rational functions with prescribed poles
Franz Peherstorfer, Peter Yuditskii
For let be the error of the best approximation of the function $\sgn(x)$ on the two symmetric intervals by rational functions with the on…
math.CA2006
Uniform approximation of sgn(x) by polynomials and entire functions
Alexandre Eremenko, Peter Yuditskii
We study the best uniform approximation by polynomials of fixed degree of the function sgn(x) on the union of two intervals symmetric with respect to the origin. We obtain precise…