Approximation of Periodic Functions of Many Variables by Functions of a Smaller Number of Variables in Orlicz Metric Spaces
| dc.contributor.author | Babich, Yu. A. | en |
| dc.contributor.author | Mikhailova, T. F. | en |
| dc.date.accessioned | 2020-01-22T11:09:18Z | |
| dc.date.available | 2020-01-22T11:09:18Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | EN: For periodic functions of many variables, we propose a method for their approximation in the Orlicz spaces Lφ (T^m). According to this method, the functions are approximated by the sums of functions of smaller number of variables each of which is piecewise-constant in one variable for fixed values of the other variables. A Jackson-type inequality is analyzed for these approximations in terms of the mixed module of continuity. | en |
| dc.identifier | DOI: 10.1007/s11253-018-1571-3 | |
| dc.identifier.citation | Babich Y. A., Mikhailova T. F. Approximation of Periodic Functions of Many Variables by Functions of a Smaller Number of Variables in Orlicz Metric Spaces. Ukrainian Mathematical Journal. 2019. Vol. 70. Iss. 8. P. 1319–1325. DOI: 10.1007/s11253-018-1571-3. (Ukrainian Original Vol. 70, No. 8, August, 2018). | en |
| dc.identifier.uri | http://eadnurt.diit.edu.ua/jspui/handle/123456789/11772 | |
| dc.identifier.uri | https://link.springer.com/journal/11253/70/8 | |
| dc.identifier.uri | https://link.springer.com/content/pdf/10.1007%2Fs11253-018-1571-3.pdf | |
| dc.language.iso | en | |
| dc.publisher | Springer | en |
| dc.subject | approximation | en |
| dc.subject | recurrent functions | en |
| dc.subject | variables | en |
| dc.subject | metric spaces | en |
| dc.subject | КПМ | uk_UA |
| dc.title | Approximation of Periodic Functions of Many Variables by Functions of a Smaller Number of Variables in Orlicz Metric Spaces | en |
| dc.type | Article | en |