Abstract

An approach to the application of Dzyadyk's generalized moment representations in problems of construction and investigation of the Pade-Chebyshev approximants is developed. With its help, certain properties of the Pade-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 Pade-Chebyshev approximants of these functions lie outside their domain of analyticity.

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