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A quantitative version of Trotter's approximation theorem

✍ Scribed by Elisabetta M. Mangino; Ioan Rasa


Book ID
108159023
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
162 KB
Volume
146
Category
Article
ISSN
0021-9045

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A Quantitative Version of a de Bruijn-Po
✍ Simonetta Salvati; AljoΕ‘a Volčič πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 176 KB πŸ‘ 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