Characterizations for the family of functions classes and their connection with Besov’s spaces

G.A. Yessenbayeva, D.N. Yesbayeva

2017

Full text Open access: Gold Metadata (CSL-JSON)

DOI 10.31489/2017m3/70-75

Data confidence 70 medium

How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

Characterizations for the family of functions classes B r p,q,N and their connection with Besov's spacesIn 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.