On Functionals Dual to Minimal Splines
- Authors: Makarov A.A.1
-
Affiliations:
- St.Petersburg State University
- Issue: Vol 224, No 6 (2017)
- Pages: 942-955
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239726
- DOI: https://doi.org/10.1007/s10958-017-3464-7
- ID: 239726
Cite item
Abstract
The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated with an example of a polynomial generating vector function, which leads to the construction of B-splines from the approximation relations. Bibliography: 16 titles.
About the authors
A. A. Makarov
St.Petersburg State University
Author for correspondence.
Email: a.a.makarov@spbu.ru
Russian Federation, St.Petersburg