论文标题
强烈的部分贪婪基地和勒布斯格型不平等现象
Strong partially greedy bases and Lebesgue-type inequalities
论文作者
论文摘要
在本文中，我们继续研究贪婪算法的Lebesgue型不平等现象。我们介绍了强烈的部分贪婪的Markushevich基地的概念，并研究了与之相关的Lebesgue型参数。我们证明，这种属性等同于保守和准绿色的属性，扩大了[9]中给出的Schauder基地的相似结果。在[1,3]开始研究之后，我们还给出了1个局部贪婪的特征。
In this paper we continue the study of Lebesgue-type inequalities for greedy algorithms. We introduce the notion of strong partially greedy Markushevich bases and study the Lebesgue-type parameters associated with them. We prove that this property is equivalent to that of being conservative and quasi-greedy, extending a similar result given in [9] for Schauder bases. We also give a characterization of 1-strong partial greediness, following the study started in [1,3].
