On a Map from the Splines into a Positive Cone with Applications.
On a Theorem of Ingham.
On algorithms for parabolic splines
On an Extremal Problem concerning Bernstein Operators
* The second author is supported by the Alexander-von-Humboldt Foundation. He is on leave from: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China.The best constant problem for Bernstein operators with respect to the second modulus of smoothness is considered. We show that for any 1/2 ≤ a < 1, there is an N(a) ∈ N such that for n ≥ N(a), 1−a≤k, n≤a, sup | Bn (f, k/n) − f(k/n) | ≤ cω2(f, 1/√n), where c is a constant,0 < c < 1.
On approximation by Chebyshevian box splines
Chebyshevian box splines were introduced in [5]. The purpose of this paper is to show some new properties of them in the case when the weight functions are of the form , where the functions are periodic functions of one variable. Then we consider the problem of approximation of continuous functions by Chebyshevian box splines.
On Best Cubature Formulas and Spline Interpolation.
On Best Error Bounds for Approximation by Piecewise Polynomial Functions.
On Constrained Multivariate Splines and Their Approximations.
On Convergence and Quasiregularity of Interpolating Complex Planar Splines.
On convex Bézier triangles
On error estimates for interpolating splines with minimal defect
On pointwise stability of cubic smoothing splines with nonuniform sampling points
On positivity properties of fundamental cardinal polysplines
On representation formulars for intermediate derivates.
On shape preserving spline interpolation: existence theorems and determination of optimal splines
On smoothing conditions of multivariate splines.
On some generalization of box splines
We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.
On some properties of LB-splines
On ℒ-spline interpolation and approximation on the whole real line
On Spline Systems: Lm-Splines.