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Simultaneous Interpolation and Approximation by a Class of Multivariate Positive Operators
  • G. Allasia
  • Mathematics, Computer Science
  • Numerical Algorithms
  • 1 December 2003
It is shown that the interpolation positive operators of a wide class satisfy also the approximation property, giving the conditions under which a sequence of operators of the considered class converges to a continuous function in a convex compact set in Rm (m∈N). Expand
A Class of Interpolating Positive Linear Operators: Theoretical and Computational Aspects
This paper reports expository talks, presented at the NATO-ASI, on scattered data interpolation by means of positive linear operators, relating to classical and extended operators of Shepard’s type.Expand
Numerical calculation of incomplete gamma functions by the trapezoidal rule
SummaryThe trapezoidal rule is applied to the numerical calculation of a known integral representation of the complementary incomplete gamma function Г (a,x) in the regiona<−1 andx>0. Since thisExpand
Lagrange Interpolation on Arbitrarily Distributed Data in Banach Spaces
The Lagrange interpolation problem in Banach spaces is approached by cardinal basis interpolation. Some error estimates are given and the results of several numerical tests are reported in order toExpand
In vitro micronucleus induction by polymethyl methacrylate bone cement in cultured human lymphocytes.
The results of the study show a significant increase in the micronucleus frequency in treated cultures and therefore the genotoxic effect of PMMA bone cement or its ingredients, usually present in self-curing methacrylate bone cement and released in small quantities after polymerisation, is shown. Expand
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds
The Hermite-Birkhoff interpolation problem of a function given on arbitrarily distributed points on the sphere and other manifolds is considered and a remarkable feature of such interpolants is that their construction does not require solving linear systems. Expand
Lobachevsky spline functions and interpolation to scattered data
To investigate errors in astronomical measurements Lobachevsky introduced in 1842 an infinite sequence of univariate spline functions with equally spaced knots, whom classic B-splines are directlyExpand
Inequalities for the gamma function relating to asymptotic expansions
Many inequalities for the gamma function can be deduced from monotonicity or convexity properties of logΓ(x) and related functions involving finite sums of the Stirling asymptotic series. ConsideringExpand
A class of spline functions for landmark‐based image registration
A class of spline functions, called Lobachevsky splines, is proposed for landmark-based image registration. Analytic expressions of Lobachevsky splines and some of their properties are given,Expand