Simultaneous approximation for the Phillips operators

May [4] estimated some direct and inverse results for certain combinations of these operators. Very recently Finta and Gupta [1] studied some direct and inverse results for the second-order Ditzian-Totik modulus of smoothness. The rates of convergence in ordinary approximation for function of bounded variation for these operators and similar types of operators were estimated in [2, 3, 7]. Very recently Srivastava and Gupta [6] proposed a general family of linear positive operators, which include the Phillips operators as special case, but they have estimated the rate of convergence in ordinary approximation. In the present paper we investigate and estimate the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.