On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials

Let w(x) be the Laguerre weight function, 1 /le p < ∞, and Lpw be the space of functions f, p-th power of which is integrable with the weight function w(x) on the non-negative axis. For a given positive integer r, let denote by WrLpw the Sobolev space, which consists of r−1 times continuously dif...

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Bibliographic Details
Main Author: Gadzhimirzaev, Ramis Makhmudovich
Format: Article
Language:English
Published: Saratov State University 2020-11-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2020/11/mmi_2020_4_416-423.pdf