Statistical convergence of a non-positive approximation process
Abstract Starting from a general sequence of linear and positive operators of discrete type, we associate its r-th order generalization. This…
Approximation Theory
Inequalities and approximation theory
Abstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…
Rate of convergence of a class of Bézier type operators for functions of bounded variation
Abstract By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the…
On the rate of convergence of some integral operators for functions of bounded variation
Abstract In the present paper we define a general class \(B_{n,\alpha},\alpha\) \(\geq1\), of Durrmeyer-Bezier type of linear positive operators. Our…
Quantitative approximations by using scaling type functions
Abstract The focus of the paper is to study a class of linear positive operators constructed by using a quasi-scaling…
On the rate of convergence of a positive approximation process
Abstract In this paper we are dealing with a class of summation integral operators on unbounded interval generated by a…
Application of Popoviciu’s high convexity to the study of some sequences properties
Abstract Starting by the notion of convex funcitons of \(n\)-order introduced by Tiberiu Popoviciu, we aim to record those theorems…
More than a summing up about Meyer-Konig and Zeller operators
Abstract In this paper we bring together the most outstanding results concerning the Meyer-Konig and Zeller operators. Furthermore, a generalization…
Approximation properties of a class of linear operators
Abstract In this paper we deal with a class of linear operators of integral type. We evaluate the order of…
Smoothness properties of positive summation integral operators
Abstract In this paper we are dealing with approximation by summation integral operatos. We show the connections between the local…