An extension based on qR-integral for a sequence of operators2 years agoAbstract The paper deals with a sequence of linear positive operators introduced via q-Calculus. We give a generalization in Kantorovich…
Statistical convergence of a non-positive approximation process2 years agoAbstract Starting from a general sequence of linear and positive operators of discrete type, we associate its r-th order generalization. This…
Rate of convergence of a class of Bézier type operators for functions of bounded variation2 years agoAbstract 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 variation2 years agoAbstract 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 functions2 years agoAbstract 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 process2 years agoAbstract 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 properties2 years agoAbstract 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 operators2 years agoAbstract In this paper we bring together the most outstanding results concerning the Meyer-Konig and Zeller operators. Furthermore, a generalization…
Properties of a new class of recursively defined Baskakov-type operators2 years agoAbstract Bu starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators,…
Approximation properties of a generalization of Bleimann, Butzer and Hahn operators2 years agoAbstract In this paper we deal with a generalization of Bleimann, Butzer and Hahn operators which is obtained by replacing…