Hardy-Littlewood theorem for series with general monotone coefficients

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dc.contributor.author Bitimkhan, S.
dc.date.accessioned 2019-02-06T10:23:45Z
dc.date.available 2019-02-06T10:23:45Z
dc.date.issued 2018
dc.identifier.citation Bitimkhan S. Hardy-Littlewood theorem for series with general monotone coefficients /S.Bitimkhan //Қарағанды универисетінің хабаршысы. МАТЕМАТИКА Сериясы.=Вестник Карагандинского университета. Серия МАТЕМАТИКА.=Bulletin of the Karaganda University. MATHEMATICS Series.-2018.-№2.-Р.43-48 ru_RU
dc.identifier.issn 2518-7929
dc.identifier.uri http://rep.ksu.kz/handle/data/3581
dc.description.abstract In this work we study trigonometric series with general monotone coefficients. Also, we consider Lq'(Lq) space. In particular, when '(t) 1 the space Lq'(Lq) coincides with Lq. Well known the theorem of Hardy and Littlewood about trigonometric series with monotone coefficients. Also known various generalizations of this theorem. In 1982 this theorem was generalized by M.F. Timan for the spaces Lq'(Lq). And in 2007 S.Tikhonov proved Hardy-Littlewood theorem for trigonometric series with general monotone coefficients. In this work we have generalized Hardy-Littlewood theorem for Fourier series of functions f 2 Lq'(Lq) with general monotone coefficients. Also, obtained upper-bound estimate of best approximation of functions f 2 Lq through its Fourier’s coefficients which are general monotone. ru_RU
dc.language.iso en ru_RU
dc.publisher Ye.A.Buketov Karaganda State University Publishing house ru_RU
dc.relation.ispartofseries Bulletin of the Karaganda University. Mathematics series;№2(90)/2018
dc.subject trigonometric series ru_RU
dc.subject Hardy-Littlewood theorem ru_RU
dc.subject general monotone sequences ru_RU
dc.subject convergence ru_RU
dc.subject Fourier’s coefficients ru_RU
dc.title Hardy-Littlewood theorem for series with general monotone coefficients ru_RU
dc.title.alternative Жалпы монотонды коэффициентті қатарлар үшін Харди-Литтлвуд теоремасы ru_RU
dc.title.alternative Теорема Харди-Литтлвуда для рядом с обобщенно-монотонными коэффицентами ru_RU
dc.type Article ru_RU


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