Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces

In this paper we define families of classes of functions related to best approximations in harmonic intervals. These families of function classes characterize the order of approximation of functions by trigonometric polynomials with a spectrum from harmonic intervals. The article contains an invest...

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Bibliographic Details
Main Authors: G.A. Yessenbayeva, D.N. Yesbayeva
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2017-09-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/169
Description
Summary:In this paper we define families of classes of functions related to best approximations in harmonic intervals. These families of function classes characterize the order of approximation of functions by trigonometric polynomials with a spectrum from harmonic intervals. The article contains an investigation of various characterizations of the indicated families of function classes, introduces imbedding theorems, and shows the connection between the introduced families of functions classes and the classical Besov spaces. The article is intended for researchers specializing in the theory of approximation and functional analysis, and all those whose interests lie in these areas.
ISSN:2518-7929
2663-5011