On an approximation process of integral type1 year agoAbstract 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-functionals1 year agoAbstract 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 series1 year agoAbstract 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 process1 year agoAbstract 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 processes1 year agoAbstract 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-series1 year agoAbstract The paper deals with a class of linear positive operators expressed by q-series. By using modulus of smoothness an…
Asymptotic behaviour of Jain operators1 year agoAbstract 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 Szabados1 year agoAbstract 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 functions1 year agoAbstract 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 theory1 year agoAbstract We present two general sequences of positive linear operators. The first is introduced by using a class of dependent…