On a generalization of the “spline” functions
Abstract AuthorsTiberiu Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Sur une généralisation des fonctions “spline”, Mathematical structures – computational mathematics…
Approximation Theory
On certain quadrature formulas of maximum degree of accuracy
Abstract AuthorsTiberiu Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Sur certaines formules de quadrature de degré d’exactitude maximum, Trudy Mat. Inst.…
On Kantorovich-type Operators in Lp Spaces
Abstract This note is devoted to the study of a linear positive sequence of operators representing an integral form in…
An application of the Shepard operator in image reconstruction
Abstract We propose an application of the Shepard operator combined with two radial basis functions in image processing. This method…
Szász–Mirakjan–Durrmeyer operators defined by multiple Appell polynomials
Abstract The paper aims at approximating functions through a sequence of linear positive operators of continuous type. First we define…
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…
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…