On two classes of approximation processes of integral type2 years agoAbstract The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The…
A complete asymptotic expansion for the quasi-interpolants of Gauss–Weierstrass operators2 years agoAbstract We derive the complete asymptotic expansion for the quasiinterpolants of Gauss Weierstrass operators W_{n} and their left quasi interpolants…
Approximation with arbitrary order by certain linear positive operators2 years agoAbstract This paper aims to highlight classes of linear positive operators of discrete and integral type for which the rates…
Properties of discrete non-multiplicative operators2 years agoAbstract 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 functions2 years agoAbstract 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 kernel2 years agoAbstract 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-integers2 years agoAbstract 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 operators2 years agoAbstract 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 process2 years agoAbstract Starting from a general sequence of linear and positive operators of discrete type, we associate its r-th order generalization. This…
Inequalities and approximation theory2 years agoAbstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…