International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 91781, 13 pages
doi:10.1155/2007/91781

About some linear operators

Abstract

Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators.