Isomorphism of some anisotropic Besov and sequence spaces
An isomorphism between some anisotropic Besov and sequence spaces is established, and the continuity of a Stieltjes-type integral operator, acting on some of these spaces, is proved.
Konstruktion und algebraische Eigenschaften von M-Spline-Interpolierenden.
L1-Approximation verallgemeinerter konvexer Funktionen durch Splines mit freien Knoten.
L2-approximation by the translates of a function and related attenuation factors.
Local representations of quartic splines
Lösung von Differentialgleichungen mit Splinefunktionen. Eine Störungstheorie. Tei 1: Divergenzaussagen.
Lower bounds for spline approximation
Meshless Polyharmonic Div-Curl Reconstruction
In this paper, we will discuss the meshless polyharmonic reconstruction of vector fields from scattered data, possibly, contaminated by noise. We give an explicit solution of the problem. After some theoretical framework, we discuss some numerical aspect arising in the problems related to the reconstruction of vector fields
Moment-Preserving Spline Approximation on Finite Intervals.
Monotonicity of Quadrature Formulae of Gauss Type and Comparison Theorems for Monosplines.
Multivariate approximation theory with -splines
Multivariate spline functions, B-spline bases and polynomial interpolations II
Natural and smoothing quadratic spline. (An elementary approach)
For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.
Natural Spline Functions, Their Associated Eigenvalue Problem.
Nekotorye ponyatiya i sootnosheniya kinematiche skoi geometrii
Note on symmetric alteration of knots of B-spline curves.
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.