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....