Lebesgue constants for the weak greedy algorithm

作者：Dilworth S J; Kutzarova D; Oikhberg T^*

来源：Revista Matematica Complutense, 2015, 28(2): 393-409.

DOI：10.1007/s13163-014-0163-5

• Weak greedy algorithm
• Biorthogonal system
• Markushevitch basis
• Lebesgue constant

We estimate the Lebesgue constants for the weak thresholding greedy algorithm in a Banach space relative to a biorthogonal system. The estimates involve the weakness (relaxation) parameter of the algorithm, as well as properties of the basis, such as its quasi-greedy constant and democracy function.

• 出版日期2015-5