Strong Inequalities for Weighted Approximation by Hermite-Fejer Interpolation
Strong Inequalities for Weighted Approximation by Hermite-Fejer Interpolation
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Hermite-Fejer 插值加权逼近的强不等式
DOI：
10.1007/s00025-020-1162-0
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发表时间：
2020
影响因子：
2.2
通讯作者：
Yao Zhigang
中科院分区：
文献类型：
--
作者：
Cheng Li;Jiang Hongbiao;Lin Yinhe;Yao Zhigang
研究了加权最大范数空间中的Hermite-Fej ′ er插值算子，其结点是指数α，β> − 1的Jacobi多项式的零点.这些算子的逼近性质由所谓的强不等式给出。此外，这样的强不等式对[-1，1]上的任何单个连续函数都有效。所得结果也涵盖了这些运营商的饱和。
We study Hermite–Fej´er interpolation operators in spaces of weighted maximum norm, whose nodes are the zeros of Jacobi polynomials with indexes α, β > −1. The approximation behaviour of those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid for any individual continuous function on [−1, 1]. The obtained result covers also the saturation of these operators.