Christoffel type functions for m-orthogonal polynomials

Authors:
Ying Guang Shi
Affiliations:
Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, PR China and Department of Mathematics, Hunan Normal University, Hunan, PR China
Venue:
Journal of Approximation Theory
Year:
2005

Citing 4
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Christoffel-type functions for m-orthogonal polynomials for Freud weights

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A note on the distance between two consecutive zeros of m-orthogonal polynomials for a generalized Jacobi weight

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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.