Uniform approximation of some classes of linear positive operators expressed by series
Abstract The paper dealswith a general class of linear positive approximation processes designed using series. For continuous and bounded functions…
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A sequence of positive linear operators associated with an approximation process
Abstract Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class…
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…
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…
Asymptotic behaviour of Jain operators
Abstract The topic of the present paper are certain approximation operators acting on the space of continous functions on \([0,+\infty)\)…
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…