Approximation of the Classes $$ {W}_{\beta, \infty}^R $$ by Generalized Abel–Poisson Integrals

Author:

Kal’chuk I. V.,Kharkevych Yu. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference18 articles.

1. A. I. Stepanets, Methods of Approximation Theory [in Russian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev (2002).

2. L. P. Falaleev, “On the approximation of functions by generalized Abel–Poisson operators,” Sib. Mat. Zh., 42, No. 4, 926–936 (2001).

3. Ya. S. Bugrov, “Bernstein-type inequalities and their application to the investigation of differential properties of the solutions of higher-order differential equations,” Math. Cluj, 5, No. 1, 5–25 (1963).

4. I. P. Natanson, “On the order of approximation of a continuous 2𝜋-periodic function by using its Poisson integral,” Dokl. Akad. Nauk SSSR, 72, No. 1, 11–14 (1950).

5. A. F. Timan, “Exact estimate of the remainder in the approximations of periodic differentiable functions by Poisson integrals,” Dokl. Akad. Nauk SSSR, 74, No. 1, 17–20 (1950).

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