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- W3120678909 abstract "Abstract Motivated by the maximal average distance of uniformly distributed sequences we consider some extremal problems for functionals of type <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msub> <m:mrow> <m:mi>μ</m:mi> </m:mrow> <m:mi>C</m:mi> </m:msub> <m:mo>↦</m:mo> <m:mrow> <m:msubsup> <m:mo>∫</m:mo> <m:mn>0</m:mn> <m:mn>1</m:mn> </m:msubsup> <m:mrow> <m:msub> <m:mrow> <m:mrow> <m:mrow> <m:msubsup> <m:mo>∫</m:mo> <m:mn>0</m:mn> <m:mn>1</m:mn> </m:msubsup> <m:mrow> <m:mi>F</m:mi> <m:mi>d</m:mi> </m:mrow> </m:mrow> </m:mrow> </m:mrow> <m:mi>μ</m:mi> </m:msub> <m:msub> <m:mrow /> <m:mi>C</m:mi> </m:msub> <m:mo>,</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> {mu _C} mapsto int_0^1 {{{int_0^1 {Fd} }_mu }_C,} where µ C 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." @default.
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- W3120678909 date "2020-12-01" @default.
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- W3120678909 title "On Extremal Problems for Pairs of Uniformly Distributed Sequences and Integrals with Respect to Copula Measures" @default.
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- W3120678909 doi "https://doi.org/10.2478/udt-2020-0013" @default.
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