一类修正的Durrmeyer－Bernstein型算子的逼近定理

Some Approximation Theorem of a Class of Modified Durrmeyer-Bernstein Operators

讨论了引入矩阵后修正的Ｄｕｒｒｍｅｙｅｒ－Ｂｅｒｎｓｔｅｉｎ型算子的点态逼近等价定理，以及加权逼近等价定理．

By means of diagonal matrix the modified Durrmeyer-Bernstein operators is introduced. The pointwise approximation equivalence theorem and the weighted approxiamtion equivalence theorem in C[0, 1] are obtained.