A note on optimal Hermite interpolation in Sobolev spaces
Abstract This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $1\le p< \infty $ with ω a cont...
Main Authors: | Guiqiao Xu, Xiaochen Yu |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2022-01-01
|
Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | https://doi.org/10.1186/s13660-021-02741-5 |
Similar Items
-
An Introduction to Sobolev Spaces and Interpolation Spaces [electronic resources]: /
by: 307384 Tartar, Luc, et al.
Published: (2007) -
Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions
by: Iris A. López P.
Published: (2018-12-01) -
Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
by: Archna Kumari, et al.
Published: (2023-07-01) -
Sobolev space /
by: Adams, Robert A. (Robert Alexander), 1940-
Published: (1975) -
Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
by: Shadimetov, Kh.M., et al.
Published: (2022-05-01)