Christoffel type functions for m-orthogonal polynomials

Authors:
Ying Guang Shi
Affiliations:
Department of Mathematics, Hunan Normal University, Changsha, Hunan, PR China
Venue:
Journal of Approximation Theory
Year:
2005

Citing 4
Cited 1

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Generalized Gaussian quadrature formulas

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Full length articles: On the zeros of m-orthogonal polynomials for Freud weights

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Abstract

The complete extension of the Christoffel type functions to the m-orthogonal polynomials is established. The properties of the Christoffel type functions are investigated. The estimations and asymptotics of the Christoffel type functions for some weights including a generalized Jacobi weight are also given.