Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 4

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

On a gap series of Mark Kac

100%
Fukuyama K.
Colloquium Mathematicum
|
1999
|
tom 81
|
nr 2
157-160
EN
Mark Kac gave an example of a function f on the unit interval such that f cannot be written as f(t)=g(2t)-g(t) with an integrable function g, but the limiting variance of $n^{-1/2}\sum_{k=0}^{n-1} f(2^kt)$ vanishes. It is proved that there is no measurable g such that f(t)=g(2t)-g(t). It is also proved that there is a non-measurable g which satisfies this equality.
2
Content available remote

A version of the law of large numbers

100%
Fukuyama K.
Colloquium Mathematicum
|
2001
|
tom 90
|
nr 2
295-298
EN
By the method of Rio [10], for a locally square integrable periodic function f, we prove $(f(μ₁^{t}x) +...+ f(μₙ^{t}x))/n → ∫_{0}^{1}f$ for almost every x and t > 0.
3
Content available remote

Recurrence for cosine series with bounded gaps

63%
Fukuyama K., Neupane D.
Colloquium Mathematicum
|
2010
|
tom 121
|
nr 2
281-284
EN
Ullrich, Grubb and Moore proved that a lacunary trigonometric series satisfying Hadamard's gap condition is recurrent a.e. We prove the existence of a recurrent trigonometric series with bounded gaps.
4
Content available remote

Optimal bound for the discrepancies of lacunary sequences

51%
Aistleitner C., Fukuyama K., Furuya Y.
Acta Arithmetica
|
2013
|
tom 158
|
nr 3
229-243
EN
The law of the iterated logarithm for discrepancies of lacunary sequences is studied. An optimal bound is given under a very mild Diophantine type condition.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.