Asymptotic behaviour of Jain operators
Abstract The topic of the present paper are certain approximation operators acting on the space of continous functions on \([0,+\infty)\)…
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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…
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 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…