Abstract:
The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.
Key words and phrases:minimal spline, hyperbolic spline, B-spline, biorthogonal system, approximation functional, dual functional, de Boor-Fix functional.
Fulltext:
PDF file (245 kB)