Approximation by Chlodowsky type Jakimovski-Leviatan operators

s at ICCAM 2012 Approximation by Chlodowsky type Jakimovski-Leviatan operators Ibrahim BÜYÜKYAZICI Ankara University Tandogan, Ankara Turkey [email protected] Joint work with: H. TANBERKAN, Ç.ATAKUT, S. KIRCI SERENBAY We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan and the theorems on convergence and the degree of convergence are established. We also give a Voronovskaya type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity introduced by A.D. Gadjiev and A. Aral.