Properties of discrete non-multiplicative operators
Abstract The paper is focused on general sequences of discrete linear operators, say \((L_{n})_{n}\geq1\). The special case of positive operators…
Approximation Theory
On a class of Bernstein-type rational functions
Abstract This note aims to highlight a general class of discrete linear and positive operators, focusing on some of their…
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…
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…
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…