Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular function are defined as$$M...
| Үндсэн зохиолч: | |
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| Формат: | Өгүүллэг |
| Хэл сонгох: | English |
| Хэвлэсэн: |
Yaroslavl State University
2016-10-01
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| Цуврал: | Моделирование и анализ информационных систем |
| Нөхцлүүд: | |
| Онлайн хандалт: | https://www.mais-journal.ru/jour/article/view/393 |