雅可比展开的黎斯算子和K泛函  

Kfunctional and Riesz Operator for Jacobi Expansions

作　　者：陈守银[1] 

机构地区：[1]湖北大学经济学院

出　　处：《湖北大学学报（自然科学版）》1998年第3期212-215,共4页Journal of Hubei University：Natural Science

摘　　要：讨论了雅可比展开的黎斯算子的若干逼近性质．建立了黎斯算子与Ｋ泛函之间的强渐近等价关系．引进黎斯算子的迭代算子，从而用以实现Ｋ泛函收敛阶的刻划，并且用于代数多项式加权最佳逼近的逼近阶描述．The paper deals with the convegence of Riesz operators for Jacobi expansions. The equivalence between Riesz operators and K functionals is established. It is proved that the iterations of Riesz operators can serve as a realization of the K functionals. The results obtained in the paper are also applied to describe the order of best approximation by algebraic polynomials with weights.

关 键 词：雅可比展开 黎斯算子 K泛函 逼近 光滑函数 

分 类 号：O174.41[理学—数学] O177[理学—基础数学]