Two-Sided Estimates of Some Coordinate Splines
- Authors: Dem’yanovich Y.K.1, Lebedinskiĭ D.M.1, Lebedinskaya N.A.1
-
Affiliations:
- St.Petersburg State University
- Issue: Vol 216, No 6 (2016)
- Pages: 770-782
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237925
- DOI: https://doi.org/10.1007/s10958-016-2941-8
- ID: 237925
Cite item
Abstract
Two-sided estimates for the continuously differentiable coordinate splines of the second order are established, and sufficient conditions of their nonnegativity are provided. The results obtained are applied to trigonometric splines.
About the authors
Yu. K. Dem’yanovich
St.Petersburg State University
Author for correspondence.
Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg
D. M. Lebedinskiĭ
St.Petersburg State University
Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg
N. A. Lebedinskaya
St.Petersburg State University
Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg