Diophantine approximations and almost periodic functions

Diophantine approximations and almost periodic functions AbstractIn this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type and we give the best polynomial estimation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Diophantine approximations and almost periodic functions

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Publisher
De Gruyter Open
Copyright
© by Adam Nawrocki
ISSN
0420-1213
eISSN
2391-4661
D.O.I.
10.1515/dema-2017-0011
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type and we give the best polynomial estimation.

Journal

Demonstratio Mathematicade Gruyter

Published: Apr 25, 2017

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