Asymptotic Behavior of the Polynomial Factor in the Interpolation Error.
Attenuation Factors in Multivariate Fourier Analysis.
-spline representation of interpolating and smoothing quadratic spline
Backward Error Analysis for Totally Positive Linear Systems.
Barycentric Formulae for Cardinal (SINC-) Interpolants.
Biquadratic spline smoothing mean values
Biquadratic splines interpolating mean values
Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.
Bivariate interpolation at Xu points: results, extensions and applications.
Boosting the inverse interpolation problem by a sum of decaying exponentials using an algebraic approach.
Bounds for a Class of Linear Functionals with Applications to Hermite Interpolation.
Characterization of ultra separation axioms via -kernel.
Closed spline curves bounding maximal area.
Complete Spline Smoothing.
Construction of surface spline interpolants of scattered data over finite domains
Constructions of interpolation curves from given supporting elements. I
This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some fo these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on Lienhard's interpolation method.
Constructions of interpolation curves from given supporting elements. II
This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some of these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on the Lienhard's interpolation method. Formulae for the curvature of plane and space interpolation curves are derived.
Continued Fractions Associated With the Newton-Padé Table.
Cubic splines with minimal norm
Natural cubic interpolatory splines are known to have a minimal -norm of its second derivative on the (or class of interpolants. We consider cubic splines which minimize some other norms (or functionals) on the class of interpolatory cubic splines only. The cases of classical cubic splines with defect one (interpolation of function values) and of Hermite splines (interpolation of function values and first derivatives) with spline knots different from the points of interpolation are discussed....
Die ableitungsfreien Fehlerabschätzungen von Interpolationsformeln
Die Idee der Lienhardschen Interpolationsmethode bei der Lösung eines Interpolationsproblems