Abstract
A rational approximation on [0,1) of functions that are analytic in the unit disk is investigated.
Similar content being viewed by others
References
M. M. Sheremeta and R. D. Bondar, “On the rate of convergence of partial sums of Dirichlet series and rational approximation of analytic functions, ” Mat. Metody Fiz.-Mekh. Polya, 39, No. 2, 116–122 (1996).
M. M. Sheremeta, “On the rate of convergence of partial sums of a whole Dirichlet series, ” Teor. Funkts. Funkts. Anal. Prilozhen., 40, 141–145 (1988).
M. M. Sheremeta, “Rational approximation of entire functions on [0,+∞) of an arbitrary growth with nonnegative Taylor coeficients, ” Ukr. Mat. Zh., 31, No. 3, 303–311 (1979); English transl. in Ukr. Math. J.
P. O. Shulimanov, Some problems of approximation by linear fractional functions [in Russian], Candidate's dissertation, Yekaterinburg (1992).
P. Erdös and A. R. Reddy, “Rational approximation, ” Adv. Math., 21, 78–109 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sheremeta, M.M., Mykytyuk, L.Y. Convergence of Partial Sums of Dirichlet Series and Rational Approximation of Functions. Journal of Mathematical Sciences 107, 3610–3614 (2001). https://doi.org/10.1023/A:1011902525768
Issue Date:
DOI: https://doi.org/10.1023/A:1011902525768