Generalized moment representations and Padé-Chebyshev approximations |
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Authors: | A. P. Golub |
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Affiliation: | (1) Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev |
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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.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 762–766, June, 1990. |
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