Infinite Dimensional Widths and Optimal Recovery of a Function Class in Orlicz Spaces in L(R) Metric

In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smooth function classes WM,1(Pr(D)) determined by the r-th differential operator Pr(D) in Orlicz spaces with L(R) metric. Using tools such as the Hölder inequality, we give the exact values of the infinite...

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Bibliographic Details
Main Authors: Xinxin Li, Garidi Wu
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/6616280