On the inequality of different metrics for trigonometric polynomials
| dc.contributor.author | Yessenbayeva, G.A. | |
| dc.contributor.author | Yesbayev, À.N. | |
| dc.contributor.author | Poppell, H. | |
| dc.date.accessioned | 2019-05-11T05:10:06Z | |
| dc.date.available | 2019-05-11T05:10:06Z | |
| dc.date.issued | 2019-03-31 | |
| dc.description.abstract | The article is devoted to the research question of inequalities for different metrics with trigonometric polynomials. The structure of this exploring, its main components and types, as well as its classical approaches are presented in this article. Nikolsky’s inequalities in different metrics are well known for trigonometric polynomials. In this paper, inequalities of different metrics are proved in the Lorentz and Lebesgue spaces for trigonometric polynomials of one variable. A similar result is obtained for trigonometric polynomials of many variables. The article is focused mainly on mathematicians. | ru_RU |
| dc.identifier.citation | Yessenbayeva G.A. On the inequality of different metrics for trigonometric polynomials /G.A. Yessenbayeva, A.N. Yesbayev, H. Poppell //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2019.- №1.-Р.95-101 | ru_RU |
| dc.identifier.issn | 2518-7929 | |
| dc.identifier.issn | 2663–5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/5733 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Ye.A.Buketov Karaganda State University Publ. | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. Mathematics Series;№1(93)/2019 | |
| dc.subject | Lebesgue spaces | ru_RU |
| dc.subject | Lorentz spaces | ru_RU |
| dc.subject | trigonometric polynomials | ru_RU |
| dc.subject | inequalities of different metrics | ru_RU |
| dc.title | On the inequality of different metrics for trigonometric polynomials | ru_RU |
| dc.title.alternative | Тригонометриялық көпмүшеліктер үшін түрлі метрикадағы теңсіздіктер жайлы | ru_RU |
| dc.title.alternative | О неравенстве разных метрик для тригонометрических полиномов | ru_RU |
| dc.type | Article | ru_RU |