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Generalized moment representations and Padé-Chebyshev approximations

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Ukrainian Mathematical Journal Aims and scope

Abstract

An approach to the application of Dzyadyk's generalized moment representations in problems of construction and investigation of the Padé-Chebyshev approximants is developed. With its help, certain properties of the Padé-Chebyshev approximants of a class of functions that is a natural analog of the class of Markov functions are studied. In particular, it is proved that the poles of the Padé-Chebyshev approximants of these functions lie outside their domain of analyticity.

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    A. P. Golub

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  1. A. P. Golub
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 762–766, June, 1990.

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Golub, A.P. Generalized moment representations and Padé-Chebyshev approximations. Ukr Math J 42, 672–676 (1990). https://doi.org/10.1007/BF01058910

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  • DOI: https://doi.org/10.1007/BF01058910

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