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A note on Lototsky–Bernstein bases.
- Source :
-
Journal of Inequalities & Applications . 2/6/2024, Vol. 2024 Issue 1, p1-6. 6p. - Publication Year :
- 2024
-
Abstract
- In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of | x | on [ − 1 , 1 ] by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approximation procedure p n (x) to | x | preserves good shapes on [ − 1 , 1 ] . Moreover, some convergence results and inequalities are derived. Our second main result states that the rate convergence of the approximation is O (n − 2) . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2024
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175280207
- Full Text :
- https://doi.org/10.1186/s13660-024-03076-7