# Linear and positive approximation operators

## 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…

## 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…