On a generalization of the Gauss formula for numerical integration
Abstract ? AuthorsTiberiu Popoviciu (Institutul de Calcul) Original title (in Romanian)T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică…
Approximation Theory
Univariate Shepard operators combined with least squares fitting polynomials
Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…
Estimates related to the iterates of positive linear operators and their multidimensional analogues
Abstract The starting point of this paper is the construction of a general family \(\left( L_{n}\right) _{n\geq 1}\) of positive…
Properties of positive linear operators connected with squared fundamental functions
Abstract The aim of this article is to present a general class of positive linear operators of discrete type related…
Inverse interpolating splines with applications to the equation solving
Abstract AuthorsCrăciun Iancu Tiberiu Popoviciu Institute of Numerical Analysis Romania Academy, Cluj-Napoca, Romania Tiberiu Oproiu Romanian Academy Astronomical Observatory Ion…
An extension of the Cheney-Sharma operator of the first kind
Abstract AuthorsTeodora Cătinaș Babeș-Bolyai University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania Iulia Buda Babeș-Bolyai University, Faculty of Mathematics…
Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions
Abstract We construct some smooth functions defined over a sphere that interpolate large sets of scattered data, using some modified…
On the iterates of uni- and multidimensional operators
Abstract The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in…
Păltănea’s operators: old and new results
Abstract This note concerns the study of an approximation linear positive process introduced by R. Paltanea in 2008. Considering the…
Iterative Shepard operator of least squares thin-plate spline type
AbstractWe propose a modified bivariate Shepard operator of least squares thin-plate spline type based on an iterative method, introduced by…