Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics

Author:

Serdyuk A. S.,Stepanyuk T. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference13 articles.

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

2. A. I. Stepanets, Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).

3. A. I. Stepanets, A. S. Serdyuk, and A. L. Shidlich, “Classification of infinitely differentiable functions,” Ukr. Mat. Zh., 60, No. 12, 1686–1708 (2008); English translation: Ukr. Math. J., No. 12, 1982–2005 (2008).

4. A. I. Stepanets, Methods of Approximation Theory [in Russian], Vol. 2, Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (2002).

5. A. S. Serdyuk, “One linear method for the approximation of periodic functions,” in: Problems of Approximation Theory of Functions and Related Problems, Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences [in Ukrainian], Kyiv, 1, No. 1 (2004), pp. 294–336.

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