On exact estimates of the convergence rate of fourier series for functions of one variable in the space L 2[–π, π]

Author:

Kerimov M. K.,Selimkhanov E. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference15 articles.

1. S. Z. Rafal’son, “Best approximation of functions in L p(x) 2 metrics by algebraic polynomials and Fourier coefficients in terms of orthogonal polynomials,” Vest. Leningr. Gos. Univ. Ser. Mekh. Mat., No. 7, 68–79 (1969).

2. F. V. Abilova, “On best approximation of functions by algebraic polynomials on average,” Compt. Rend. Acad. Bulgar. Sci. 46 (12), 9–11 (1993).

3. V. A. Abilov and F. V. Abilova, “Best approximation of functions by algebraic polynomials in the mean,” Russ. Math. 41 (3), 60–62 (1997).

4. V. A. Abilov, F. V. Abilova, and M. K. Kerimov, “Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in L 2((a, b), p(x)),” Comput. Math. Math. Phys. 49 (6), 927–941 (2009).

5. V. A. Abilov, F. V. Abilova, and M. K. Kerimov, “Sharp estimates for the convergence rate of Fourier–Bessel series,” Comput. Math. Math. Phys. 55 (6), 907–916 (2015).

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3. On sharp estimates of the convergence of double Fourier–Bessel series;Computational Mathematics and Mathematical Physics;2017-11

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