New inequalities for weaving frames in Hilbert spaces

Abstract In this paper, we establish Parseval identities and surprising new inequalities for weaving frames in Hilbert spaces which involve scalar λ ∈ R $\lambda \in {\mathcal{R}}$ . With suitable choices of λ, one obtains the previous results as special cases. Our results generalize and improve the...

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Autores principales: Yuxiang Xu, Jinsong Leng
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/50ac321dc8784b439d47d17169af0600
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spelling oai:doaj.org-article:50ac321dc8784b439d47d17169af06002021-11-28T12:26:02ZNew inequalities for weaving frames in Hilbert spaces10.1186/s13660-021-02722-81029-242Xhttps://doaj.org/article/50ac321dc8784b439d47d17169af06002021-11-01T00:00:00Zhttps://doi.org/10.1186/s13660-021-02722-8https://doaj.org/toc/1029-242XAbstract In this paper, we establish Parseval identities and surprising new inequalities for weaving frames in Hilbert spaces which involve scalar λ ∈ R $\lambda \in {\mathcal{R}}$ . With suitable choices of λ, one obtains the previous results as special cases. Our results generalize and improve the remarkable results obtained by Balan et al. and Găvruţa.Yuxiang XuJinsong LengSpringerOpenarticleWeaving framesFramesHilbert spacesMathematicsQA1-939ENJournal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
institution DOAJ
collection DOAJ
language EN
topic Weaving frames
Frames
Hilbert spaces
Mathematics
QA1-939
spellingShingle Weaving frames
Frames
Hilbert spaces
Mathematics
QA1-939
Yuxiang Xu
Jinsong Leng
New inequalities for weaving frames in Hilbert spaces
description Abstract In this paper, we establish Parseval identities and surprising new inequalities for weaving frames in Hilbert spaces which involve scalar λ ∈ R $\lambda \in {\mathcal{R}}$ . With suitable choices of λ, one obtains the previous results as special cases. Our results generalize and improve the remarkable results obtained by Balan et al. and Găvruţa.
format article
author Yuxiang Xu
Jinsong Leng
author_facet Yuxiang Xu
Jinsong Leng
author_sort Yuxiang Xu
title New inequalities for weaving frames in Hilbert spaces
title_short New inequalities for weaving frames in Hilbert spaces
title_full New inequalities for weaving frames in Hilbert spaces
title_fullStr New inequalities for weaving frames in Hilbert spaces
title_full_unstemmed New inequalities for weaving frames in Hilbert spaces
title_sort new inequalities for weaving frames in hilbert spaces
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/50ac321dc8784b439d47d17169af0600
work_keys_str_mv AT yuxiangxu newinequalitiesforweavingframesinhilbertspaces
AT jinsongleng newinequalitiesforweavingframesinhilbertspaces
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