<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider an optimization problem for Cesàro means of bivariate functions. We apply methods from uniform distribution theory, calculus of variations and ideas from the theory of optimal transport.</p></abstract>

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

An Extremal Problem in Uniform Distribution Theory

maria-rita.iaco@liafa.univ-paris-diderot.fr

Institute of Information, Automation and Mathematics, Faculty of Food Technology, Slovak Technical University, Radlinského 12, SK-812 37 Bratislava,

IRIF (LIAFA), Bât. Sophie Germain, Univ. Paris Diderot, Paris 7, 8 Place Aurélie Nemours, F-75205 Paris Cedex 13,

Department of Mathematics, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava,

Institute for Analysis and Computational Number Theory, Graz University of Technology, Kopernikusgasse 24, A-8010 Graz,

Institute for Analysis and Computational Number Theory, Graz University of Technology, Steyrergasse 30, A-8010 Graz,

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"An Extremal Problem in Uniform Distribution Theory"}

In this paper we consider an optimization problem for Cesàro means of bivariate functions. We apply methods from uniform distribution theory, calculus of...

An Extremal Problem in Uniform Distribution Theory

Publicado en línea: 13 ene 2017

Páginas: 1 - 21

Recibido: 24 feb 2015

Aceptado: 11 mar 2015

DOI: https://doi.org/10.1515/udt-2016-0012

Palabras clave
Uniform distribution, copula, Monge-Kantorovich problem, dual problem, -convex function, -subdifferential

© 2016 Vladimír Baláž et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

An Extremal Problem in Uniform Distribution Theory

Publicado en línea: 13 ene 2017

Páginas: 1 - 21

Recibido: 24 feb 2015

Aceptado: 11 mar 2015

DOI: https://doi.org/10.1515/udt-2016-0012

Palabras claveUniform distribution, copula, Monge-Kantorovich problem, dual problem, -convex function, -subdifferential

© 2016 Vladimír Baláž et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
Uniform distribution, copula, Monge-Kantorovich problem, dual problem, -convex function, -subdifferential