Note on Matuzsewska-Orlich indices and Zygmund inequalities

In this note we call attention to the fact that there exist some relations between the Matuszewska-Orlicz indices $m(\varphi)$ and $M(\varphi)$ of the function $\varphi$, and possible values of the constants in Zygmund type inequalities.

Bibliographic Details
Main Author: N. Samko
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2010-04-01
Series:Armenian Journal of Mathematics
Online Access:http://test.armjmath.sci.am/index.php/ajm/article/view/67
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spelling doaj-8d1fe7c7bf0145d8b563d33095f921872020-11-24T23:00:31ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632010-04-0131Note on Matuzsewska-Orlich indices and Zygmund inequalitiesN. Samko0Universidade do Algarve, Campus de Gambelas, Faro,8005 139, Portugal In this note we call attention to the fact that there exist some relations between the Matuszewska-Orlicz indices $m(\varphi)$ and $M(\varphi)$ of the function $\varphi$, and possible values of the constants in Zygmund type inequalities. http://test.armjmath.sci.am/index.php/ajm/article/view/67
collection DOAJ
language English
format Article
sources DOAJ
author N. Samko
spellingShingle N. Samko
Note on Matuzsewska-Orlich indices and Zygmund inequalities
Armenian Journal of Mathematics
author_facet N. Samko
author_sort N. Samko
title Note on Matuzsewska-Orlich indices and Zygmund inequalities
title_short Note on Matuzsewska-Orlich indices and Zygmund inequalities
title_full Note on Matuzsewska-Orlich indices and Zygmund inequalities
title_fullStr Note on Matuzsewska-Orlich indices and Zygmund inequalities
title_full_unstemmed Note on Matuzsewska-Orlich indices and Zygmund inequalities
title_sort note on matuzsewska-orlich indices and zygmund inequalities
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2010-04-01
description In this note we call attention to the fact that there exist some relations between the Matuszewska-Orlicz indices $m(\varphi)$ and $M(\varphi)$ of the function $\varphi$, and possible values of the constants in Zygmund type inequalities.
url http://test.armjmath.sci.am/index.php/ajm/article/view/67
work_keys_str_mv AT nsamko noteonmatuzsewskaorlichindicesandzygmundinequalities
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