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Generalized Christoffel functions for power orthogonal polynomials

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Abstract

In this paper we extend the Christoffel functions to the case of power orthogonal polynomials. The existence and uniqueness as well as some properties are given.

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Authors and Affiliations

  1. Guangdong Country Garden School, Foshan, 52800, China

    Xie Tao

  2. College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), Hunan Normal University, Changsha, 410081, China

    Yan Liang

Authors
  1. Xie Tao
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  2. Yan Liang
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Corresponding author

Correspondence to Xie Tao.

Additional information

The research is supported in part by the National Natural Science Foundation of China (No. 11171100, No. 10871065 and No. 11071064) and by Hunan Provincial Natural Science Foundation of China (No. 10JJ3089), and by Scientific Research Fund of Hunan Provincial Education Department (No. 11W012).

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Tao, X., Liang, Y. Generalized Christoffel functions for power orthogonal polynomials. Acta Math. Appl. Sin. Engl. Ser. 30, 819–832 (2014). https://doi.org/10.1007/s10255-014-0423-7

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  • DOI: https://doi.org/10.1007/s10255-014-0423-7

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