Home / Journals / Uniform Distribution Theory (UDT) / UDT. Volume 15. Issue 2 / On Extremal Problems for Pairs of Uniformly Distributed Sequences and Integrals with Respect to Copula Measures

Uniform Distribution Theory
CC: Creative Commons BY: credit must be given to the creator. ND: No derivatives or adaptations of the work are permitted.

Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 15. Issue 2


Published on

December, 2020


Pages

99-112


DOI

https://doi.org/10.2478/udt-2020-0013

Article

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


Authors

Fabrizio Durante, Juan Fernández-Sánchez, Claudio Ignazzi and Wolfgang Trutschnig


Abstract

Motivated by the maximal average distance of uniformly distributed sequences we consider some extremal problems for functionals of type μC↦∫01∫01FdμC, 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.


Citation

Durante, F., Fernández-Sánchez, J., Ignazzi, C. & Trutschnig, W. (2020). On Extremal Problems for Pairs of Uniformly Distributed Sequences and Integrals with Respect to Copula Measures. Uniform distribution theory, 15(2), 99-112. https://doi.org/10.2478/udt-2020-0013