The concern of this note is to introduce a general class of linear positive operators of discrete type acting on the space of real valued functions defined on a plane domain. These operators preserve some test functions of Bohman-Korovkin theorem. Following our technique, as a particular class, a modified variant of the bivariate Bernstein-Chlodovsky operators is presented.

<p style='text-indent:20px;'>The goal of the present manuscript is to introduce a new sequence linear positive operators, i.e., Sz<inline-formula><tex-math id="M2">\begin{document}$ \acute{a} $\end{document}</tex-math></inline-formula>sz-Schurer-Beta type operators approximate class Lebesgue integrable functions. Moreover, we calculate basic estimates and central m...

In this paper, we prove a fuzzy Korovkin-type approximation theorem for fuzzy positive linear operators by using A-statistical convergence for four-dimensional summability matrices. Also we obtain rates of A-statistical convergence of a double sequence of fuzzy positive linear operators for fourdimensional summability matrices. 1. Introduction Anastassiou [3] …rst introduced the fuzzy analogue ...

In the present paper we introduce positive linear operators q−Bernstein Chlodowsky polynomials on a rectangular domain and obtain their Korovkin type approximation properties. The rate of convergence of this generalization is obtained by means of the modulus of continuity, and also by using the K-functional of Peetre. We obtain weighted approximation properties for these positive linear operato...

The aim of the present paper is to introduce new type integral operators which involve Sheffer polynomials. We investigate approximation properties of the our operators with the help of the universal Korovkin-type property and also establish the rate of convergence by using modulus of continuity, second order modulus of smoothness and Petree’s Kfunctional. Moreover, some examples which include ...

In this paper we first introduce the King type modification of q-Bernstein-Chlodowsky operators, then we examine the rate of convergence of these operators by means of modulus of continuity and with the help of the functions of Lipschitz class. We proved that the error estimation of this modification is better than that of classical q-Bernstein-Chlodowsky operators whenever 0 ≤ x ≤ bn 2[n]+1 . ...