论文标题
多元准投影算子均匀近似
Uniform approximation by multivariate quasi-projection operators
论文作者
论文摘要
研究了准投影算子的近似属性$ q_j（f，φ，\widetildeφ）$。这样的操作员与满足Strang-Fix条件的函数$φ$相关联，并且具有回火分布$ \widetildeφ$，使得与$φ$ hold的兼容条件相关联。对于在均匀连续函数和各向异性BESOV空间上定义的一类超级预测算子的统一规范中的误差估计值。在$φ$和$ \widetildeφ$的其他假设下，还获得了对$ k $功能的实现的双面估计。
Approximation properties of quasi-projection operators $Q_j(f,φ, \widetildeφ)$ are studied. Such an operator is associated with a function $φ$ satisfying the Strang-Fix conditions and a tempered distribution $\widetildeφ$ such that compatibility conditions with $φ$ hold. Error estimates in the uniform norm are obtained for a wide class of quasi-projection operators defined on the space of uniformly continuous functions and on the anisotropic Besov spaces. Under additional assumptions on $φ$ and $\widetildeφ$, two-sided estimates in terms of realizations of the $K$-functional are also obtained.
