On Integral Generalization of Lupas , -Jain Operators

This paper mainly is a natural continuation of "On Lupas,-Jain Operators" constructed by functions on [0, infinity). We first present the weighted uniform approximation and provide a quantitative estimate for integral generalization of Lupas,-Jain operators. We also scrutinize the order of approximation in regards to local approximation results in sense of a classical approach, Peetre's K-functional and Lipschitz class. Then, we prove that given operators can be approximated in terms of the Steklov means (Steklov averages). Lastly, a Voronovskaya-type asymptotic theorem is given.