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The Christoffel Function for Orthogonal Polynomials on a Circular Arc
Authors:Leonid Golinskii
Institution:Mathematical Division, Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov, 310164, Ukrainef1
Abstract:For the special type of weight functions on circular arc we study the asymptotic behavior of the Christoffel kernel off the arc and of the Christoffel function inside the arc. We prove Totik's conjecture for the Christoffel function corresponding to such weight functions.
Keywords:orthogonal polynomials on circular arc  Christoffel function  approximation
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