Tchebycheff系统与广义矩极值问题:简要综述
Tchebycheff systems and extremal problems for generalized moments: a brief survey
摘要:
简要介绍了切比雪夫和马尔可夫系统的函数及其应用的极值问题的积分等功能的理论基础。结果以及所有必要的定义都以最常用的术语表示。这项工作的动机是在概率和统计的具体应用。并简要讨论了几个相关的问题,包括关于给定拓扑空间上Tchebycheff系统的存在性问题。
英文摘要:
A brief presentation of basics of the theory of Tchebycheff and Markov systems of functions and its applications to extremal problems for integrals of such functions is given. The results, as well as all the necessary definitions, are stated in most common terms. This work is motivated by specific applications in probability and statistics. A few related questions are also briefly discussed, including the one on the existence of a Tchebycheff system on a given topological space.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。