Best approximation rate of constants by simple partial fractions and Chebyshev alternance

Author:

Komarov M. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference16 articles.

1. V. I. Danchenko and D. Ya. Danchenko, “On the uniform approximation by logarithmic derivatives of polynomials,” in Function Theory, Its Applications, and Related Topics, Proceedings of the Conference-School Dedicated to the 130th Anniversary of D. F. Egorov (Kazan, 1999), pp. 74–77 [in Russian].

2. O. N. Kosukhin, “On the approximation properties of the simplest fractions,” Vestnik Moskov. Univ. Ser. I Mat. Mekh. No. 4, 54–59 (2001) [Moscow Univ. Math. Bull. 56 (4), 36–40 (2001)].

3. E. N. Kondakova, “Interpolation by simple partial fractions,” Izv. Saratov Univ.. Nov. Ser. Ser. Mat. Mekh. Inform. 9(2), 30–37 (2009).

4. V. I. Danchenko and E. N. Kondakova, “Criterion for the appearance of singular nodes under interpolation by simple partial fractions,” in Trudy Mat.Inst.Steklov, Vol. 278: Differential Equations and Dynamical Systems (MAIK, Moscow, 2012), pp. 49–58 [Proc. Steklov Inst. Math. 278 (1), 41–50 (2012)].

5. V. I. Danchenko and E. N. Kondakova, “Chebyshev’s alternance in the approximation of constants by simple partial fractions,” in Trudy Mat.Inst.Steklov, Vol. 270: Differential Equations and Dynamical Systems (MAIK, Moscow, 2010), pp. 86–96 [Proc. Steklov Inst. Math. 270 (1), 80–90 (2010)].

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