论文标题
在双面stechkin不平等的最佳常数上
On the optimal constants in the two-sided Stechkin inequalities
论文作者
论文摘要
我们以离散和连续的变体中的强度和弱的史基金不平等现象中的最佳常数。这些不平等出现在近似空间的表征中，这些空间是由稀疏近似或对插值理论应用的。提供了Bennett给出的强烈离散不平等不平等中常数的基本证据，我们改善了Levin和Stechkin和Copson给出的常数。最后，出现了弱离散史基金不平等和连续的stechkin不平等现象中的最小常数。
We address the optimal constants in the strong and the weak Stechkin inequalities, both in their discrete and continuous variants. These inequalities appear in the characterization of approximation spaces which arise from sparse approximation or have applications to interpolation theory. An elementary proof of a constant in the strong discrete Stechkin inequality given by Bennett is provided, and we improve the constants given by Levin and Stechkin and by Copson. Finally, the minimal constants in the weak discrete Stechkin inequalities and both continuous Stechkin inequalities are presented.
