Вычисление производных в пространствах Lp, 1 ≤ p ≤ ∞
Аннотация
Ключевые слова
MSC2020: 41A35, 41A45, 65D25
Об авторе
Анатолий Николаевич МорозовРоссия
канд. физ.-мат. наук, доцент
Список литературы
1. S. Bernstein, “On the Qestion of Local Best Approximation of Functions”, in Dokl. USSR Acad. Sci, vol. 26, 1940, pp. 839–842.
2. A. Calderon and A. Zygmund, “Local properties of solutions of elliptic partial differential equations”, ´in Selected Papers of Antoni Zygmund, Springer, 1989, pp. 285–339.
3. A. Morozov, “On Taylor Differentiability in the Spaces Lp, 0 < p ≤ ∞”, Modeling and analysis of inform. systems, vol. 25, no. 3, pp. 323–330, 2018.
4. A. Morozov, “Local approximations of differentiable functions.”, Math. Notes, vol. 100, no. 2, pp. 256–262, 2016.
5. V. Abilov and F. Abilova, “Problems in the approximation of 2 π-periodic functions by Fourier sums in the space L2(2 π)”, Math. Notes, vol. 76, pp. 749–757, 2004.
6. A. Khromov and G. Khromova, “Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval”, Computational Mathematics and Mathematical Physics, vol. 54, no. 9, pp. 1389–1394, 2014.
7. V. Dzyadyk, Introduction to the theory of uniform approximation of functions by polynomials. Nauka, 1977.
8. L. Schumaker, Spline Functions: Basic Theory. Wiley, New York, 1981.
Для цитирования:
Морозов А.Н. Вычисление производных в пространствах Lp, 1 ≤ p ≤ ∞. Моделирование и анализ информационных систем. 2020;27(1):124-131. https://doi.org/10.18255/1818-1015-2020-1-124-131
For citation:
Morozov A.N. Calculation of Derivatives in the Lp Spaces where 1 ≤ p ≤ ∞. Modeling and Analysis of Information Systems. 2020;27(1):124-131. (In Russ.) https://doi.org/10.18255/1818-1015-2020-1-124-131