On the Jackson type inequality in the dyadic BMO space

In this paper the direct theorem of the approximation theory for functions from the dyadic Besov space is proved. Together with the inverse theorem, it allows to solve an interpolation problem between dyadic BMO and the dyadic Besov space.

Bibliographic Details
Main Author: I. P. Irodova
Format: Article
Language:English
Published: Yaroslavl State University 2009-09-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/949
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spelling doaj-a054db18edf043f0b72377c3ac6a0a9d2021-07-29T08:15:17ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172009-09-011632946690On the Jackson type inequality in the dyadic BMO spaceI. P. Irodova0Ярославский государственный университет им. П.Г. ДемидоваIn this paper the direct theorem of the approximation theory for functions from the dyadic Besov space is proved. Together with the inverse theorem, it allows to solve an interpolation problem between dyadic BMO and the dyadic Besov space.https://www.mais-journal.ru/jour/article/view/949jackson inequalitydyadic bmoapproximationinterpolation
collection DOAJ
language English
format Article
sources DOAJ
author I. P. Irodova
spellingShingle I. P. Irodova
On the Jackson type inequality in the dyadic BMO space
Modelirovanie i Analiz Informacionnyh Sistem
jackson inequality
dyadic bmo
approximation
interpolation
author_facet I. P. Irodova
author_sort I. P. Irodova
title On the Jackson type inequality in the dyadic BMO space
title_short On the Jackson type inequality in the dyadic BMO space
title_full On the Jackson type inequality in the dyadic BMO space
title_fullStr On the Jackson type inequality in the dyadic BMO space
title_full_unstemmed On the Jackson type inequality in the dyadic BMO space
title_sort on the jackson type inequality in the dyadic bmo space
publisher Yaroslavl State University
series Modelirovanie i Analiz Informacionnyh Sistem
issn 1818-1015
2313-5417
publishDate 2009-09-01
description In this paper the direct theorem of the approximation theory for functions from the dyadic Besov space is proved. Together with the inverse theorem, it allows to solve an interpolation problem between dyadic BMO and the dyadic Besov space.
topic jackson inequality
dyadic bmo
approximation
interpolation
url https://www.mais-journal.ru/jour/article/view/949
work_keys_str_mv AT ipirodova onthejacksontypeinequalityinthedyadicbmospace
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