Local Approximation Properties for Certain King Type Operators


Mehmet Ali Özarslan, Hüseyin Aktuğlu




In this paper, we consider a certain King type operators which includes general families of Sz\'asz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which provides global approximation for the above mentioned operators, we obtain the rate of convergence of this class. Furthermore, we give local approximation results by using the first and the second modulus of continuity.