5 citations · 23 across the 17 of their papers we have counts for
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Positive trigonometric Quadrature Formulas and quadrature on the unit circle
Franz Peherstorfer
We give several descriptions of positive quadrature formulas which are exact for trigonometric -, respectively, Laurent polynomials of degree less or equal , $0\leq m\leq n-…
Asymptotic representation of minimal polynomials on several intervals
Franz Peherstorfer
Asymptotic representation of minimal polynomials on several intervals is given. The last modifications and corrections of this manuscript were done by the author in the two months…
On some classical problems concerning -extremal polynomials with constraints
Franz Peherstorfer
First we consider the following problem which dates back to Chebyshev, Zolotarev and Achieser: among all trigonometric polynomials with given leading coefficients $b…
Asymptotics of the best polynomial approximation of and of the best Laurent polynomial approximation of $\sgn(x)$ on two symmetric intervals
F. Nazarov, F. Peherstorfer, A. Volberg +1
We present a new method that allows us to get a direct proof of the classical Bernstein asymptotics for the error of the best uniform polynomial approximation of on two sym…
On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem
L. Golinskii, F. Peherstorfer, P. Yuditskiy
In 2002 C. Berg, Y. Chen, and M. Ismail found a nice relation between the determinancy of the Hamburger moment problem and asymptotic behavior of the smallest eigenvalues of the co…
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…