Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties

Let $C[-1,1]$ be the space of functions continuous on the segment $[-1,1]$, $C[-1,1]^2$ be the space of functions continuous on the square $[-1,1]^2$. We denote by $P_n^\alpha(x)$ the ultraspherical Jacobi polynomials. Earlier, for function $f$ from the space $C[-1,1]$ limit series were constructed...

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Bibliographic Details
Main Authors: Guseinov, Ibraghim G., Gadzhimirzaev, Ramis Makhmudovich
Format: Article
Language:English
Published: Saratov State University 2021-11-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2021/11/422-433-guseinov-gadzhimirzaev.pdf