Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://hdl.handle.net/11701/14885
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Nurmagomedov, Alim A. | - |
dc.contributor.author | Rasulov, Nabiyullah K. | - |
dc.date.accessioned | 2018-09-18T11:39:08Z | - |
dc.date.available | 2018-09-18T11:39:08Z | - |
dc.date.issued | 2018-09 | - |
dc.identifier.citation | Nurmagomedov A.A., Rasulov N.K. Double-sided to Lebesgue function of Fourier sums by polynomials orthogonal on non-uniform grids. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 3, pp. 417–430. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2018.306 | - |
dc.identifier.uri | http://hdl.handle.net/11701/14885 | - |
dc.description.abstract | Let Ω = {t0, t1, . . . , tN} and ΩN = {x0, x1, . . . , xN−1}, where xj = (tj + tj+1)/2, j = 0, 1, . . . , N − 1 are any systems of different points from [−1, 1]. For arbitrary continuous function f(x) on the segment [−1, 1] discrete Fourier sums is constructed by a system of polynomials {ˆpk,N(x)}N−1 k=0 forming an orthonormal system on non-uniform system of points ΩN consisting of a finite number of N points from segment [−1, 1] with weight Δtj = tj+1 − tj . We have found an order for Lebesgue function Ln,N(x) of the growing discrete Fourier sums Sn,N(f, x) for n = O(δ −2/7 N ), δN = max0 ≤j≤N−1 Δtj. Namely, a double-sided pointwise estimate for Lebesgue function Ln,N(x) with is depended from n and position of a point x on the [−1, 1] is obtained. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 3 | - |
dc.subject | polynomial | en_GB |
dc.subject | orthogonal system | en_GB |
dc.subject | set | en_GB |
dc.subject | asymptotic formula | en_GB |
dc.subject | discrete Fourier sums | en_GB |
dc.subject | Lebesgue function | en_GB |
dc.title | Double-sided to Lebesgue function of Fourier sums by polynomials orthogonal on non-uniform grids | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
06-Nurmagomedov.pdf | 333,94 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.