# Approximation Theory

## 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…

## 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…