Positivity of Minimal Coordinate Splines
- Авторы: Dem’yanovich Y.K.1, Ivantsova O.N.1, Khodakovskii V.A.1
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Учреждения:
- St. Petersburg State University
- Выпуск: Том 219, № 6 (2016)
- Страницы: 936-958
- Раздел: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238735
- DOI: https://doi.org/10.1007/s10958-016-3156-8
- ID: 238735
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Аннотация
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.
Об авторах
Yu. Dem’yanovich
St. Petersburg State University
Автор, ответственный за переписку.
Email: Yuri.Demjanovich@JD16531.spb.edu
Россия, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
O. Ivantsova
St. Petersburg State University
Email: Yuri.Demjanovich@JD16531.spb.edu
Россия, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
V. Khodakovskii
St. Petersburg State University
Email: Yuri.Demjanovich@JD16531.spb.edu
Россия, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504
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