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Aiming at reducing the CNC machining vibration and increasing machining quality, an interpolation method for parametric tool paths with confined jounce, jerk, acceleration, and speed is proposed. An a...
In Kriging interpolation, the types of variogram model are very finite, which make the variogram very difficult to describe the spatial distributional characteristics of true data. In order to overcom...
Abstract: In this paper, we consider the particular case of the general rational Hermite interpolation problem where only the value of the function is interpolated at some points, and where the functi...
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
In this paper the problem of construction of lattice optimal interpolation formulas in the space ]L(m) 2 (0, 1) is considered.
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
We give an elementary proof of a solvability criterion for the {\em boundary Carath\'{e}odory-Fej\'{e}r problem}: given a point $x \in \R$ and, a finite set of target values, to construct a function $...
In this paper we present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Minimal list decoding for a code $C$ refers to list decoding with radius $L$, where $L$ is the minimum of the d...
We consider Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties.An interpolation theorem, along with additional operator theoretic resul...
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
In this paper, an equivalence between existence of particular exponential Riesz bases for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
Methods of approximation,which interpolate to given values on the boundary of a trian-gle,are presented.These methods have linear weights and are characterized on the basis ofminimizing pseudonorm.Som...
Newton's polynomial interpolation may be the favourite linear interpolation in the sense that it is built up by means of the divided differences which can be calculated recursively and produce usef...

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