Optimal approximation by Blaschke forms
Optimal approximation by Blaschke forms
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DOI：
10.1080/17476933.2011.557152
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发表时间：
2013-01
影响因子：
0.9
通讯作者：
Tao Qian;E. Wegert
中科院分区：
文献类型：
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作者：
Tao Qian;E. Wegert
研究了Hardy空间H2(𝔻)中函数的Blaschke形式的最佳逼近，Blaschke形式是修正的Blaschke积的有限线性组合.这些功能在单元盘之外具有根据要分解的功能而适配的极点。我们证明了极小元的存在性，并给出了极小元的构造算法。
We study best approximation of functions in the Hardy space H 2(𝔻) by Blaschke forms, which are finite linear combinations of modified Blaschke products. These functions have poles outside the unit disk which are adapted according to the function to be decomposed. We prove the existence of minimizers and propose an algorithm for their construction.