推广的Kantorovich多项式算子在Lp[0,1](1≤P)中的一个局部逆定理

Locally Inverse Theorem in the Lp[0,1](1≤p ) for Generalized Kantorovich Polynomial Operator

中文关键词:  Kantorovich多项式算子  逼近  逆定理

英文关键词:Kamtorovich polynomial operator  approximation  inverse theorem

中文摘要:

      本文在引进了推广的Kantorovich多项式算子的条件下，假设｛α_n｝有界得到了该算子在逼近过程中的局部逆定理，从而推广了文献[1]中Z．Ditzian的结果．

英文摘要:

      By introducing generalized Kantorovich polynomial operator and supposing {a_n} is bounded, this article obtains the locally inverse theorem of this operator in the approximate process , thus generalizes Z. Ditzian's results in [1].