The Christoffel Function for Orthogonal Polynomials on a Circular Arc |
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Authors: | Leonid Golinskii |
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Institution: | Mathematical Division, Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov, 310164, Ukrainef1 |
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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. |
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Keywords: | orthogonal polynomials on circular arc Christoffel function approximation |
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