Diophantine approximations and almost periodic functions

Diophantine approximations and almost periodic functions

In 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.

Bibliographic Details
Main Author: Nawrocki Adam
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Demonstratio Mathematica
Subjects:
Almost periodic function in the Lebesgue measure
continued fraction
Stepanov almost periodic function
42A75
11A55
41A10
Online Access:http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0011/dema-2017-0011.xml?format=INT
Description
Summary:In 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.
ISSN:2391-4661

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