DOAJ Open Access 2017

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

G.A. Yessenbayeva D.N. Yesbayeva

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

G.A. Yessenbayeva

D.N. Yesbayeva

Format Sitasi

APA MLA BibTeX

Yessenbayeva, G., Yesbayeva, D. (2017). Characterizations for the family of functions classes {B^r_p,q,N} and their connection with Besov’s spaces. https://doi.org/10.31489/2017m3/70-75

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Informasi Jurnal

Tahun Terbit: 2017
Sumber Database: DOAJ
DOI: 10.31489/2017m3/70-75
Akses: Open Access ✓