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 Theory
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…
On an approximation process of integral type
Abstract In this paper we study a class of integral type positive linear operators depending on a parameter \(\beta,0\leq\beta<1\). Approximation…
On a property of moduli of smoothness and K-functionals
Abstract A new property of moduli of smoothness associated to functions belonging to some certain spaces is revealed. In terms…
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…
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…