Christoffel Functions and Orthogonal Polynomials for Exponential Weights on [-1,1] number 535

✍ Scribed by A. L. Levin, D. S. Lubinsky

Publisher: American mathematical Society
Year: 1994
Tongue: English
Leaves: 166
Series: Memoires of American Mathematical Society 0535
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Subjects

Polinomios ortogonales.

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