关于多元Baskakov算子的加权逼近(英文)

Weighted Approximation by Multidimensional Baskakov Operators

英文关键词:Multivariate Baskakov operators: Jacobi weights  weighted approximation  claracterization.

中文摘要:

      本文首先指出一类多元Ｂａｓｋａｋｏｖ算子在通常的加权范数下是无界的．然后给出了一类新的加权范数，在此范数下它是压缩的．最后利用多元分解技巧，解决了多元Ｂａｓｋａｋｏｖ算子加权逼近的特征刻划文问题．

英文摘要:

      In this paper, we shall point out that the Multidimensional Baskakov opera- tors are unbounded in (C_α,β:‖wf‖_∞). Then we give a inverse theorems for multivariate Baskakov operators with Jacobi weights. A crucial tools in our approach is a decompo- sition technique and a new type weights norm and flew K-function.