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...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2016-10-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/393 |