Alternation for Best Spline Approximations
An Abstract Approach to Rational Interpolation.
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids
We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid, over...
An algorithm for biparabolic spline
The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional algorithms....
An Algorithm for Computing Constrained Smoothing Spline Functions.
An Algorithm for Discrete Linear Lp Approximation.
An Algorithm for Rational Interpolation Similar to the qd-Algorithm.
An Algorithm for Segment Approximation.
An Algorithm for the Computation of the Exponential Spline.
An Algorithmic Approach to Hermite-Birkhoff-Interpolation.
An Almost Orthogonal Radial Wavelet Expansion for Radial Distributions.
An analogue of a problem of J. Balázs and P. Turán, II (Inequalities)
An analogue of Montel’s theorem for some classes of rational functions
For sequences of rational functions, analytic in some domain, a theorem of Montel’s type is proved. As an application, sequences of rational functions of the best -approximation with an unbounded number of finite poles are considered.
An Analysis of Ralston's Quadrature.
An application of fixed point theorems in best approximation theory.
An application of KKM-map principle.
An application of semi-infinite linear programming: approximation of a continuous function by a polynomial
An approximate analytic solution of a particular boundary value problem.
An Approximate Taylor's Theorem for R(X).
An approximation in the -norm by Hermite interpolation.