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λ-Equidistributed sequences of partitions and a theorem of the De Bruijn-Post type

✍ Scribed by Franco Chersi; Aljoša Volčič

Book ID
112608549
Publisher
Springer
Year
1992
Tongue
English
Weight
478 KB
Volume
162
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES

A Quantitative Version of a de Bruijn-Po
A Quantitative Version of a de Bruijn-Post Theorem
✍ Simonetta Salvati; Aljoša Volčič 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 176 KB 👁 2 views

A theorem due to de Bruijn and Post states that if a real valued function f defined on [0, 1] is not Riemann-integrable, then there exists a uniformly distributed sequence {x i } such that the averages 1 n n i=1 f (x i ) do not admit a limit. In this paper we will prove a quantitative version of thi