The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville

Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL}(g,x_0)\right|=0$ follows from the fact that th...

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Bibliographic Details
Main Authors: Aleksandr Yurievich Trynin, Ekaterina Dmitrievna Kireeva
Format: Article
Language:English
Published: Saratov State University 2020-03-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/2020/02/51-63trynin-kireeva.pdf