1. bookVolume 15 (2020): Edizione 2 (December 2020)
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eISSN
2309-5377
Prima pubblicazione
30 Dec 2013
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2 volte all'anno
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On Extremal Problems for Pairs of Uniformly Distributed Sequences and Integrals with Respect to Copula Measures

Pubblicato online: 25 Dec 2020
Volume & Edizione: Volume 15 (2020) - Edizione 2 (December 2020)
Pagine: 99 - 112
Ricevuto: 12 Jun 2020
Accettato: 15 Nov 2020
Dettagli della rivista
License
Formato
Rivista
eISSN
2309-5377
Prima pubblicazione
30 Dec 2013
Frequenza di pubblicazione
2 volte all'anno
Lingue
Inglese
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.

Keywords

MSC 2010

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