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Mean convergence of Hermite-Fejer type interpolation

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Approximation Theory and its Applications

Abstract

Lp convergence of Hermite-Fejér interpolation and quasi-Hermite-Fejér interpolation based upon zeros of general orthogonal polynomials is investigated. This paper “almost” characterizes such convergence for all continuous functions.

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Authors and Affiliations

  1. Computing Center, Chinese Academy of Sciences, P.O. Box 2719, 100080, Bejing, P. R. China

    Shi Yingguang

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  1. Shi Yingguang
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Supported by the National Natural Science Foundation of China.

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Yingguang, S. Mean convergence of Hermite-Fejer type interpolation. Approx. Theory & its Appl. 9, 89–103 (1993). https://doi.org/10.1007/BF02836273

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  • DOI: https://doi.org/10.1007/BF02836273

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