Spherical Shepard-Bernoulli operator
AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…
Approximation Theory
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…
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…
A Stancu type extension of the Cheney-Sharma Chlodovsky operators
Abstract In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented…
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…