On a double complex sequence of linear operators
Abstract The main goal of the article is to introduce a class of double complex linear operators of integral type.…
Linear and positive approximation operators
Approximation properties of a class of linear operators
Abstract This work focuses on a class of linear positive operators of discrete type. We present the relationship between the…
Approximation by Bézier variant of the Baskakov-Kantorovich operators in the case 0<α<1
Abstract The present paper deals with the approximation of Bezier variants of Baskakov-Kantorovich operators \(V_{n,\alpha}^{\ast}\) in the case \(0<\alpha<1\). Pointwise…
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…
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…
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…