Kantorovich sequences associated to general approximation processes
Abstract Starting from a general sequence of linear positive operators of discrete type we indicate a method to associate its…
Linear and positive approximation operators
On the uniform convergence of a q-series
Abstract The paper deals with a class of linear positive operators expressed by q-series. By using modulus of smoothness an…
On the variation detracting property of operators of Balázs and Szabados
Abstract In this note we spotlight the linear and positive operators of discrete type \((R_{n})_{n\geq1}\) known as Balazs–Szabados operators. We…
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…