We present a new method to compute formulas for the action on monomials of a generalization of binomial approximation operators of Popoviciu type, or equivalently moments of associated discrete probability distributions with finite support. These quantities are necessary to check the assumptions of the Korovkin Theorem for approximation operators, or equivalently the Feller Theorem for converge...

This paper is concerned with the sequence of positive linear operators obtained by certain generating functions polynomials and investigation its approximation properties in detail. Initially, convergence theorem expressed for constructed this article using universal Korovkin-type then considering modulus continuity Lipschitz class, an estimate degree operators. Moreover, generalization involvi...

In this paper, we present statistical weighted mean ( briefly, (N?,p,q,1,1)) summability method for double sequences of fuzzy numbers and give necessary sufficient Tauberian conditions under which convergence a sequence follows from its (N?,p,q,1,1) summability. Furthermore, apply our new to prove Korovkin type approximation theorem positive linear operators.

In the present research article, we construct a new family of summation-integral type hybrid operators in terms shape parameter ? [0, 1]. Further, basic estimates, rate convergence and order approximation with aid Korovkin theorem modulus smoothness are investigated. Moreover, numerical simulation graphical approximations studied. For these sequences positive linear operators, study local resul...

In the present paper, using triangular $A-$statistical convergence for double sequences, which is an interesting method, we prove a Korovkin-type approximation theorem positive linear operators on space of all real-valued continuous functions $\left[ 0,\infty \right)\times \left[ \right) $ with property that have finite limit at infinity. Moreover, rate via modulus continuity. Finally, give som...

In the present paper, we introduce a new kind of convergence, called statistical relative uniform for double sequence functions at point, where convergence set neighborhoods given point is considered. By use investigate Korovkin type approximation theorem which makes proposed method stronger than ones studied before. After that, give an example using this convergence. We also study rate

In this paper, we are dealing with Cheney-Sharma Chlodovsky Durrmeyer operators and studying their approximation properties. The Bohman-Korovkin theorem is verified estimated the convergence properties using of modulus continuity, Lipschitz- type space, Ditzian-Totik continuity. After that, weighted result also given. Finally, some results related to A-statistical o...