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…
Linear and positive approximation operators
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 AuthorsOctavian Agratini Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesO. Agratini, More than a summing up about…
Properties of a new class of recursively defined Baskakov-type operators
Abstract 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 operators
Abstract In this paper we deal with a generalization of Bleimann, Butzer and Hahn operators which is obtained by replacing…
On the monotonicity of a sequence of Stancu-Bernstein type operators
Abstract One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending…
Approximation theorem in \(L_{p}\) for a class of operators constructed by wavelets
Abstract In this paper we deal with a linear operator of Baskakov-type which has been constructed in [1] by using…
An application of divided differences
Abstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…