A tensor product of Kantorovich-Stancu type operators with shifted knots and their k th order generalization

Abstract

In this paper, we introduce a tensor product of the Stancu-Kantorovich type operators defined by Icoz [12]. The rate of convergence of these operators is obtained in terms of the modulus of continuity and the Peetre’s K-functional. Further, we consider a generalization of the above operators via Taylor’s polynomials and examine their approximation behavior. Some applications of these two dimensional generalized Stancu-Kantorovich type polynomials are also discussed. Finally, we present some numerical examples and illustrations to show the convergence behavior of the operators under study using MATLAB algorithms.