Recently, in a number of papers it was understood that results on sampling discretization and on the universal sampling discretization can be successfully used in the problem of sampling recovery. Moreover, it turns out that it is sufficient to only have a one-sided discretization inequality for some of those applications. This motivates us to write the present paper as a survey/research paper with the focus on the one-sided discretization inequalities and their applications in the sampling recovery. In this sense the paper complements the two existing survey papers on sampling discretization.

翻译：最近，多篇论文指出，采样离散化与通用采样离散化的结果可成功应用于采样恢复问题。此外，研究表明，对于某些应用而言，仅需满足单边离散化不等式即可。这促使我们撰写本综述/研究论文，重点关注单边离散化不等式及其在采样恢复中的应用。在此意义上，本文是对现有两篇采样离散化综述论文的补充。