Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞
| dc.contributor.author | Bimendina, A. U. | |
| dc.contributor.author | Smailov, E. S. | |
| dc.date.accessioned | 2018-02-09T05:46:19Z | |
| dc.date.available | 2018-02-09T05:46:19Z | |
| dc.date.issued | 2016-05 | |
| dc.description.abstract | For polynomials in the Price system, we establish an inequality of different metrics in the Lorentz spaces. Applying this inequality, we prove a Hardy–Littlewood theorem for theFourier–Price series with GM sequences of coefficients in the two-parameter Lorentz spaces and in the Nikol’skii–Besov spaces with a Price basis. We also study the behavior of the best approximations of functions by Price polynomials in the metric of the Lorentz space. | ru_RU |
| dc.identifier.citation | Bimendina A. U. Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞/ A. U. Bimendina, E. S. Smailov//Proceedings of the Steklov Institute of Mathematics.-2016.- №1(293).-pp 77–98 | ru_RU |
| dc.identifier.issn | 0081-5438 | |
| dc.identifier.uri | https://rep.buketov.edu.kz/handle/data/2235 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Pleiades Publishing | ru_RU |
| dc.relation.ispartofseries | Proceedings of the Steklov Institute of Mathematics;№1(293) | |
| dc.title | Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞ | ru_RU |
| dc.type | Article | ru_RU |