On the polynomials which form an Appell sequence (I)
Abstract AuthorsTiberiu Popoviciu Keywords? Paper coordinatesT. Popoviciu, Asupra polinoamelor cari formează un şir Appell (I), Bull. Mathematique de la Soc.…
Approximation Theory
Introduction to the theory of divided differences
Abstract AuthorsTiberiu Popoviciu Keywords? Paper coordinatesT. Popoviciu, Introduction à la théorie des différences divisées, Bull. Math. de la Soc. Roum.…
Iterates of multidimensional approximation operators via Perov theorem
AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…
Shepard operator of least squares thin-plate spline type
AbstractWe obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin…
On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators
Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…
Kantorovich type operators associated with Jain-Markov operators
AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…
Approximation of some classes of functions by Landau type operators
Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…
On Landau-type approximation operators
AbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…
Approximation properties of a family of integral type operators
AbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…
Inequalities for Information Potentials and Entropies
AbstractWe consider a probability distribution \((p_0(x), p_1(x), . . .)\) depending on a real parameter \(x\). The associated information potential…