501750
9780821825990
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Bounds for orthogonal polynomials which hold on the whole interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on [-1,1]. Levin and Lubinsky obtain such bounds for weights that vanish strongly at 1 and -1. They also present uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.Levin, A. L. is the author of 'Christoffel Functions and Orthogonal Polynomials for Exponential Weights on' with ISBN 9780821825990 and ISBN 0821825992.
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