Approximation of $$\bar \psi - integrals$$ of periodic functions by Fourier sums (small smoothness). Iof periodic functions by Fourier sums (small smoothness). I

Author:

Stepanets A. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference11 articles.

1. A. I. Stepanets, Approximation of $$\bar \psi - Integrals$$ of Periodic Functions by Fourier Sums. Rate of Convergence of Fourier Series on Classes of Convolutions [in Russian], Preprint No. 11, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1996).

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

3. A. N. Kolmogorov, “ Zur Crossenordnung des Restlieldes Fouriershen Reihen differenzierbaren Functionen,” Ann. Math., 36, 521–526 (1935).

4. A. I. Stepanets, Uniform Approximation by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).

5. S. A. Telyakovskii, “On the approximation of functions of given classes by Fourier sums,” in: Proceedings of the 3rd Saratov Winter School “Theory of Functions and Approximations” (February 1986) [in Russian], Part 1, Saratov University, Saratov (1987), p. 156.

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