Simultaneous Approximation for Stancu-Type Generalization of Certain Summation–Integral-Type Operators

Abstract

Srivastava and Gupta (Math. and Comput. Model. 37:1307–1315, 2003) introduced a general sequence of summation–integral-type operators, which in the literature have sometimes been termed as Srivastava–Gupta operators. In this paper we consider Stancu-type generalization of these operators and obtain moments of these operators by method of hypergeometric series. Also, for these operators we derive the asymptotic formula and error estimation in simultaneous approximation.