An extremal problem in uniform distribution theory

Stefan Michael Thonhauser; Robert Tichy; Maria Rita Iaco; Oto Strauch; Vladimir Balaz

doi:10.1515/udt-2016-0012

An extremal problem in uniform distribution theory

Stefan Michael Thonhauser, Robert Tichy, Maria Rita Iaco, Oto Strauch, Vladimir Balaz

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Number of pages	21
Journal	Uniform Distribution Theory
Volume	11
Issue number	2
DOIs	https://doi.org/10.1515/udt-2016-0012
Publication status	Published - 2016

ASJC Scopus subject areas

Control and Optimization

Fields of Expertise

Information, Communication & Computing

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10.1515/udt-2016-0012

1 Active

Special Research Area (SFB) F55 Quasi-Monte Carlo Methods: Theory and Applications
Grabner, P., Tichy, R., Kusner, W. B., Ziefle, J., Brauchart, J., Iaco, M. R. & Aistleitner, C.
1/02/14 → 31/01/23
Project: Research project

Cite this

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title = "An extremal problem in uniform distribution theory",

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.",

author = "Thonhauser, {Stefan Michael} and Robert Tichy and Iaco, {Maria Rita} and Oto Strauch and Vladimir Balaz",

year = "2016",

doi = "10.1515/udt-2016-0012",

language = "English",

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journal = "Uniform Distribution Theory",

issn = "1336-913X",

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AU - Thonhauser, Stefan Michael

AU - Tichy, Robert

AU - Iaco, Maria Rita

AU - Strauch, Oto

AU - Balaz, Vladimir

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

U2 - 10.1515/udt-2016-0012

DO - 10.1515/udt-2016-0012

M3 - Article

VL - 11

JO - Uniform Distribution Theory

JF - Uniform Distribution Theory

SN - 1336-913X

IS - 2

ER -

An extremal problem in uniform distribution theory

Abstract

ASJC Scopus subject areas

Fields of Expertise

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Projects

Special Research Area (SFB) F55 Quasi-Monte Carlo Methods: Theory and Applications

Cite this