A CLASS OF OPERATORS BY MEANS OF 3-DIAGONAL MATRICES

[摘要] 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 L(p) are also presented by the Ditzian-Totik modulus of smoothness. (C) 1994 Academic Press. Inc.

[发布日期] 1994-08-01