Kantorovich-type operators preserving affine functions
Abstract Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype…
Linear and positive approximation operators
Statistical convergence applied to Korovkin-type approximation theory
Abstract We present two general sequences of positive linear operators. The first is introduced by using a class of dependent…
On two classes of approximation processes of integral type
Abstract The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The…
Approximation with arbitrary order by certain linear positive operators
Abstract This paper aims to highlight classes of linear positive operators of discrete and integral type for which the rates…
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…
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…
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…