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


Behar Baxhaku, Rahul Shukla, P N Agrawal




In this paper, we introduce a tensor product of the Stancu-Kantorovich type operators defined by Içöz [11]. 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