APPROXIMATION OF GENERALIZED PALTANEA AND HEILMANN-TYPE OPERATORS

In this paper, we study the approximation on differences of two different positive linear operators (generalized Paltanea type operators and M. Heilmann type operators) with same basis functions. We estimates a quantitative difference of these operators in terms of modulus of continuity and Peetre's K-functional. We represent the rate of convergence, using modulus of continuity and Peetre's K-functional. Also, we represent Heilmann-type operators in terms of hypergeometric series.