A note on Lototsky–Bernstein bases

Abstract In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of | x | $|x|$ on [ − 1 , 1 ] $[-1,1]$ by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approxim...

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Bibliographic Details
Main Authors: Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng
Format: Article
Language:English
Published: SpringerOpen 2024-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03076-7