1. bookVolume 15 (2020): Issue 2 (December 2020)
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30 Dec 2013
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access type Open Access

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

Published Online: 25 Dec 2020
Page range: 99 - 112
Received: 12 Jun 2020
Accepted: 15 Nov 2020
Journal Details
License
Format
Journal
First Published
30 Dec 2013
Publication timeframe
1 time per year
Languages
English
Abstract

Motivated by the maximal average distance of uniformly distributed sequences we consider some extremal problems for functionals of type μC0101FdμC,{\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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