In this paper, we study several approximation properties of Szasz-Mirakjan-Durrmeyer operators with shape parameter ??[?1,1]??[?1,1]. Firstly, obtain some preliminaries results such as moments and central moments. Next, estimate the order convergence in terms usual modulus continuity, for functions belong to Lipschitz type class Peetre's K-functional, respectively. Also, prove a Korovkin theore...

The purpose of this work is to introduce a new class of double positive linear operators which depend on a parameter β. For these operators we proved a Korovkin type theorem and we presented some associated convergence properties.

In this paper, Lupa? Bernstein-Kantorovich operators have been studied using Jackson and Riemann type (p,q)-integrals. It has shown that (p, q)-integrals as well are not defined for 0 < q p 1 thus further analysis is needed. Throughout the case ? used. Advantages of discussed over general q)-integrals. constructed via integral need be positive every f 0. So to make these based on q)-integral...

The concept of -convergence was introduced in [P. Schaefer, Proc. Amer. Math. Soc. 36(1972)104-110] by using invariant mean.In this paper we apply this method to prove some Korovkin type approximation theorems. [Mustafa Obaid. Some approximation theorems via -convergence. Life Sci J 2012;9(4):1527-1530] (ISSN:10978135). http://www.lifesciencesite.com. 231

In this study, we define a Kantorovich type generalization of W. MeyerKönig and K. Zeller operators and we will give the approximation properties of these operators with the help of Korovkin theorems. Then we compute the approximation order by modulus of continuity.

In this article, we concentrate on the Sz?sz-Jakimovski-Leviatan operators imposed by Appell polynomials using q-calculus. We analyze classical Sz?sz-Jakimovski-Leviatan-Kantorovich and derive approximation results connected to non-negative parameters ? [ 1 2 ,?) in q-analogue. order combining with earlier investigation utilizing Korovkin?s theorem study local as well global theorems terms of u...