Positivity of Minimal Coordinate Splines


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Resumo

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.

Sobre autores

Yu. Dem’yanovich

St. Petersburg State University

Autor responsável pela correspondência
Email: Yuri.Demjanovich@JD16531.spb.edu
Rússia, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504

O. Ivantsova

St. Petersburg State University

Email: Yuri.Demjanovich@JD16531.spb.edu
Rússia, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504

V. Khodakovskii

St. Petersburg State University

Email: Yuri.Demjanovich@JD16531.spb.edu
Rússia, 28, Universitetskii pr., Petrodvorets, St. Petersburg, 198504

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