Email this article Positivity of Minimal Coordinate Splines
- Authors: Dem’yanovich Y.K.1, Ivantsova O.N.1, Khodakovskii V.A.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 219, No 6 (2016)
- Pages: 936-958
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238735
- DOI: https://doi.org/10.1007/s10958-016-3156-8
- ID: 238735
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Abstract
We obtain sufficient positivity conditions for continuously differentiable minimal coordinate splines of the second order in a general case. These conditions are used for constructing positive exponential continuously differentiable coordinate splines. We establish the positivity of hyperbolic and fractional-rational minimal coordinate splines without any restrictions on a grid.
About the authors
Yu. K. Dem’yanovich
St. Petersburg State University
Author for correspondence.
Email: Yuri.Demjanovich@JD16531.spb.edu
Russian Federation, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
O. N. Ivantsova
St. Petersburg State University
Email: Yuri.Demjanovich@JD16531.spb.edu
Russian Federation, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
V. A. Khodakovskii
St. Petersburg State University
Email: Yuri.Demjanovich@JD16531.spb.edu
Russian Federation, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
