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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2021
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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) |
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Weaving frames Frames Hilbert spaces Mathematics QA1-939 |
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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 |
_version_ |
1718407950866841600 |