A Class of Operators by Means of Three-Diagonal Matrices Original Research Article

We give a method of linear approximation by means of three-diagonal matrices. By this method we modify the Kantorovich operators and obtain a new class of operators which overcomes a difficulty in extending a Berens-Lorentz result to the Kantorvich operators for second order of smoothness. The direct and inverse theorems for these operators in Lp are also presented by the Ditzian-Totik modulus of smoothness.