Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞

Bimendina, A. U.; Smailov, E. S.

dc.contributor.author	Bimendina, A. U.
dc.contributor.author	Smailov, E. S.
dc.date.accessioned	2018-04-17T05:36:51Z
dc.date.available	2018-04-17T05:36:51Z
dc.date.issued	2016-05
dc.identifier.citation	Bimendina A. U. Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞/ A. U. Bimendina, E. S. Smailov//Proceedings of the Steklov Institute of Mathematics.-2016.- №1(293).-pp 77–98	ru_RU
dc.identifier.issn	0081-5438
dc.identifier.uri	http://rep.ksu.kz/handle/data/2577
dc.description.abstract	For polynomials in the Price system, we establish an inequality of different metrics in the Lorentz spaces. Applying this inequality, we prove a Hardy–Littlewood theorem for the Fourier–Price series with GM sequences of coefficients in the two-parameter Lorentz spaces and in the Nikol’skii–Besov spaces with a Price basis. We also study the behavior of the best approximations of functions by Price polynomials in the metric of the Lorentz space.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Pleiades Publishing	ru_RU
dc.relation.ispartofseries	Proceedings of the Steklov Institute of Mathematics;№1(293)
dc.title	Fourier—Price coefficients of class GM and best approximations of functions in the Lorentz space L pθ [0, 1), 1<p<+∞, 1<θ<+∞	ru_RU
dc.type	Article	ru_RU