5 citations · 23 across the 17 of their papers we have counts for
17 papers
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…
Degenerating behavior of Green's function
Franz Peherstorfer
Let the unions of real intervals and be such that $\cap_{k = 1}^{\infty}…
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…
Faddeev-Marchenko scattering for CMV matrices and the Strong Szego Theorem
L. Golinskii, A. Kheifets, F. Peherstorfer +1
B. Simon proved the existence of the wave operators for the CMV matrices with Szego class Verblunsky coefficients, and therefore the existence of the scattering function. Generally…