Optimal interpolation formulas in $W_2^{(m,m-1)}$ space
S.S. Babaev, A.R. Hayotov
TL;DR
This paper develops explicit optimal interpolation formulas within the Sobolev space $W_2^{(m,m-1)}(0,1)$, providing theoretical formulas and numerical results to improve interpolation accuracy.
Contribution
It introduces explicit formulas for optimal interpolation in $W_2^{(m,m-1)}$ space, advancing the theoretical framework and practical computation methods.
Findings
Explicit formulas for coefficients are derived.
Numerical results demonstrate the effectiveness of the formulas.
The approach improves interpolation accuracy in the specified Sobolev space.
Abstract
In the present paper optimal interpolation formulas are constructed in space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results are presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods in inverse problems · Iterative Methods for Nonlinear Equations · Mathematical functions and polynomials