In the papers [5]-[7] was examined approximation of functions by the modified Szász-Mrakyan operators and other positive linear operators preserving e2(x) = x 2. In this paper we introduce the Post-Widder and Stancu operators preserving x 2 in polynomial weighted spaces. We show that these operators have better approximation properties than classical Post-Widder and Stancu operators.
We introduce certain modified Meyer-König and Zeller operators Mn;r in the space of r-th times differentiable functions f and we study strong differences H q n;r (f ) for them. This note is motivated by results on strong approximation connected with Fourier series ([7]).
We prove some approximation properties of generalized Meyer-König and Zeller operators for differentiable functions in polynomial weighted spaces. The results extend some results proved in [1][2][3][7][8][9][10][11][12][13][14][15][16].
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.