Probabilistic linear widths of Sobolev space with Jacobi weights on [ − 1 , 1 ] $[-1,1]$

Abstract Optimal asymptotic orders of the probabilistic linear ( n , δ ) $(n,\delta)$ -widths of λ n , δ ( W 2 , α , β r , ν , L q , α , β ) $\lambda_{n,\delta }(W^{r}_{2,\alpha,\beta }, \nu,L_{q,\alpha,\beta })$ of the weighted Sobolev space W 2 , α , β r $W_{2,{\alpha, \beta }}^{r}$ equipped with...

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Bibliographic Details
Main Authors: Xuebo Zhai, Xiuyan Hu
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1540-7