关于共轭测度的一致分布序列和积分对的极值问题

Uniform distribution theory Pub Date : 2020-12-01 DOI:10.2478/udt-2020-0013

F. Durante, J. Fernández-Sánchez, C. Ignazzi, W. Trutschnig

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引用次数: 0

摘要

摘要基于均匀分布序列的最大平均距离，考虑了一类泛函(μC =∫01∫01FdμC, {\mu ＿C }\mapsto\int ＿0^1 {{{\int ＿0^1 {Fd} ＿}\mu ＿C)的极值问题}，其中µC是一个共轭测度，F是一个特定类型的[0,1]2上的Riemann可积函数。这类问题在[4]中已经得到了考虑，对研究两个均匀分布序列的极限点具有重要意义。}

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On Extremal Problems for Pairs of Uniformly Distributed Sequences and Integrals with Respect to Copula Measures

Abstract Motivated by the maximal average distance of uniformly distributed sequences we consider some extremal problems for functionals of type μC↦∫01∫01FdμC, {\mu _C} \mapsto \int_0^1 {{{\int_0^1 {Fd} }_\mu }_C,} where µC is a copula measure and F is a Riemann integrable function on [0, 1]2 of a specific type. Such problems have been considered in [4] and are of interest in the study of limit points of two uniformly distributed sequences.

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Uniform distribution theory

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