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On the rate of convergence of the partial sums of dirichlet series and rational approximation of analytic functions

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Abstract

We study the asymptotic behavior of the rate of convergence of Dirichlet series that are absolutely convergent in a half-plane; the results obtained are applicable to rational approximation of functions analytic in the unit disk with nonnegative Taylor coefficients.

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Authors
  1. M. M. Sheremeta
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  2. R. D. Bodnar
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 116–122.

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Sheremeta, M.M., Bodnar, R.D. On the rate of convergence of the partial sums of dirichlet series and rational approximation of analytic functions. J Math Sci 90, 2421–2426 (1998). https://doi.org/10.1007/BF02433977

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  • DOI: https://doi.org/10.1007/BF02433977

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