Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 11, Issue 2


Published
on


Pages

1-21


DOI

Article

An Extremal Problem in Uniform Distribution Theory


Authors

Vladimír Baláž Affiliation:
Institute of Information Automation and Mathematics Faculty of Food Technology Slovak Technical University Radlinského 12 SK-812 37 Bratislava SLOVAKIA
, Oto Strauch Affiliation:
Department of Mathematics Slovak Academy of Sciences Štefánikova 49 SK-814 73 Bratislava SLOVAKIA
, Maria Rita Iacò Affiliation:
IRIF (LIAFA), Bât. Sophie Germain Univ. Paris Diderot, Paris 7 8 Place Aurélie Nemours F-75205 Paris Cedex 13 FRANCE
, Stefan Thonhauser Affiliation:
Institute for Analysis and Computational Number Theory Graz University of Technology Kopernikusgasse 24 A-8010 Graz AUSTRIA
and Robert F. Tichy Affiliation:
Institute for Analysis and Computational Number Theory Graz University of Technology Steyrergasse 30 A-8010 Graz AUSTRIA


Abstract

In this paper we consider an optimization problem for Cesaro means of bivariate functions. We apply methods from uniform distribution theory, calculus of variations and ideas from the theory of optimal transport.


Keywords

Uniform distribution, copula, Monge-Kantorovich problem, dual problem.


Citation

Baláž, V., Strauch, O., Iacò, M. R., & Thonhauser, S. (2016). An extremal problem in uniform distribution theory. Uniform Distribution Theory, 11(2), 1–21. https://doi.org/10.1515/udt-2016-0012

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