On the inequality of different metrics for trigonometric polynomials

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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.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 http://rep.ksu.kz//handle/data/5733
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.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

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