A complete asymptotic expansion for the quasi-interpolants of Gauss–Weierstrass operators
Abstract We derive the complete asymptotic expansion for the quasiinterpolants of Gauss Weierstrass operators \(W_{n}\) and their left quasi interpolants…
Approximation Theory
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…
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…