4 papers
Fast algorithms for interpolation with clamped -splines of order four
O. Kounchev, H. Render, G. Simeonov +1
Interpolation and smoothing using cubic and generalized splines are fundamental tools in data analysis and statistical modeling. Recently, fast computational algorithms were develo…
Inequalities for exponential polynomials with applications to moment sequences
Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev
Let be the unique solution of the differential operator such that …
Error estimates for harmonic and biharmonic interpolation splines with annular geometry
Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev
The main result in this paper is an error estimate for interpolation biharmonic polysplines in an annulus , with respect to a partition by concentric a…
Fast algorithms for interpolation with L-splines for differential operators L of order 4 with constant coefficients
Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev
In the classical theory of cubic interpolation splines there exists an algorithm which works with only arithmetic operations. Also, the smoothing cubic splines m…