Statistical convergence of integral operators generated by a single kernel
Abstract We introduce a class of double-complex integral linear operators. Some geometric properties are investigated and a statistical approximation theorem…
(original)
On a generalization of Bleimann, Butzer and Hahn operators based on q-integers
Abstract We propose a class of linear positive operators based on q-integers. These operators depend on a non-negative parameter and…
An extension based on qR-integral for a sequence of operators
Abstract 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 process
Abstract 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 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…
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…