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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-04-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0011/dema-2017-0011.xml?format=INT |
| _version_ | 1818992217746833408 |
|---|---|
| author | Nawrocki Adam |
| author_facet | Nawrocki Adam |
| author_sort | Nawrocki Adam |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T20:22:39Z |
| format | Article |
| id | doaj.art-71602e4002d5454f87edf55af9f56734 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-20T20:22:39Z |
| publishDate | 2017-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-71602e4002d5454f87edf55af9f567342022-12-21T19:27:32ZengDe GruyterDemonstratio Mathematica2391-46612017-04-0150110010410.1515/dema-2017-0011dema-2017-0011Diophantine approximations and almost periodic functionsNawrocki Adam0Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznan, PolandIn 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.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0011/dema-2017-0011.xml?format=INTAlmost periodic function in the Lebesgue measurecontinued fractionStepanov almost periodic function42A7511A5541A10 |
| spellingShingle | Nawrocki Adam Diophantine approximations and almost periodic functions Demonstratio Mathematica Almost periodic function in the Lebesgue measure continued fraction Stepanov almost periodic function 42A75 11A55 41A10 |
| title | Diophantine approximations and almost periodic functions |
| title_full | Diophantine approximations and almost periodic functions |
| title_fullStr | Diophantine approximations and almost periodic functions |
| title_full_unstemmed | Diophantine approximations and almost periodic functions |
| title_short | Diophantine approximations and almost periodic functions |
| title_sort | diophantine approximations and almost periodic functions |
| topic | Almost periodic function in the Lebesgue measure continued fraction Stepanov almost periodic function 42A75 11A55 41A10 |
| url | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0011/dema-2017-0011.xml?format=INT |
| work_keys_str_mv | AT nawrockiadam diophantineapproximationsandalmostperiodicfunctions |