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On Lp -Discrepancy of Signed Measures
Authors:V V Andrievskii  H-P Blatt
Institution:V. V. Andrievskii Department of Mathematics and Computer Science Kent State University Kent, OH 44242 USA andriyev@mcs.kent.edu, US
H.-P. Blatt Katholische Universit?t Eichst?tt Ostenstra?e 26-28 D-85071 Eichst?tt Germany hans.blatt@ku-eichstaett.de, DE
Abstract:We consider L p -discrepancy estimates between two Borel measures supported on the interval -1, 1] and give applications to the distribution of zeros of orthogonal polynomials. Thereby we obtain a new interpretation to the different local zero behavior of Pollaczek polynomials. June 16, 2000. Date accepted: December 26, 2000.
Keywords:, Discrepancy, Equilibrium distribution, Orthogonal polynomials, Szegő, condition, Pollaczek polynomials, AMS Classification,,,,,,42C05, 26C10, 31A15,
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