Some equalities and inequalities for probabilistic frames

Abstract Probabilistic frames have some properties which are similar to those of frames in Hilbert space. Some equalities and inequalities have been established for traditional frames. In this paper, we give some equalities and inequalities for probabilistic frames. Our results generalize and improv...

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Main Authors:	Dongwei Li, Jinsong Leng, Tingzhu Huang, Yuxiang Xu
Format:	Article
Language:	English
Published:	SpringerOpen 2016-10-01
Series:	Journal of Inequalities and Applications
Subjects:	frame probabilistic frame equality
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1183-0

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spelling	doaj-9e24b5b24dfd451787fd64a47b8cfb7b2020-11-25T01:56:31ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-10-012016111110.1186/s13660-016-1183-0Some equalities and inequalities for probabilistic framesDongwei Li0Jinsong Leng1Tingzhu Huang2Yuxiang Xu3School of Mathematical Sciences, University of Electronic Science and Technology of ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of ChinaSichuan Radio and TV UniversityAbstract Probabilistic frames have some properties which are similar to those of frames in Hilbert space. Some equalities and inequalities have been established for traditional frames. In this paper, we give some equalities and inequalities for probabilistic frames. Our results generalize and improve the remarkable results which have been obtained.http://link.springer.com/article/10.1186/s13660-016-1183-0frameprobabilistic frameequality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dongwei Li Jinsong Leng Tingzhu Huang Yuxiang Xu
spellingShingle	Dongwei Li Jinsong Leng Tingzhu Huang Yuxiang Xu Some equalities and inequalities for probabilistic frames Journal of Inequalities and Applications frame probabilistic frame equality
author_facet	Dongwei Li Jinsong Leng Tingzhu Huang Yuxiang Xu
author_sort	Dongwei Li
title	Some equalities and inequalities for probabilistic frames
title_short	Some equalities and inequalities for probabilistic frames
title_full	Some equalities and inequalities for probabilistic frames
title_fullStr	Some equalities and inequalities for probabilistic frames
title_full_unstemmed	Some equalities and inequalities for probabilistic frames
title_sort	some equalities and inequalities for probabilistic frames
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-10-01
description	Abstract Probabilistic frames have some properties which are similar to those of frames in Hilbert space. Some equalities and inequalities have been established for traditional frames. In this paper, we give some equalities and inequalities for probabilistic frames. Our results generalize and improve the remarkable results which have been obtained.
topic	frame probabilistic frame equality
url	http://link.springer.com/article/10.1186/s13660-016-1183-0
work_keys_str_mv	AT dongweili someequalitiesandinequalitiesforprobabilisticframes AT jinsongleng someequalitiesandinequalitiesforprobabilisticframes AT tingzhuhuang someequalitiesandinequalitiesforprobabilisticframes AT yuxiangxu someequalitiesandinequalitiesforprobabilisticframes
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Some equalities and inequalities for probabilistic frames

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