Next Article in Journal
Hybrid Mann Viscosity Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities and Fixed Point Problems
Next Article in Special Issue
Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions
Previous Article in Journal
An Interval Type-2 Fuzzy Similarity-Based MABAC Approach for Patient-Centered Care
Previous Article in Special Issue
New Refinement of the Operator Kantorovich Inequality
Article Menu
Issue 2 (February) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(2), 141;

More on Inequalities for Weaving Frames in Hilbert Spaces

College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China
Received: 14 January 2019 / Revised: 29 January 2019 / Accepted: 30 January 2019 / Published: 2 February 2019
(This article belongs to the Special Issue Inequalities)
Full-Text   |   PDF [758 KB, uploaded 2 February 2019]


In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers. It is indicated that our results are more general and cover the corresponding results recently obtained by Li and Leng. We also give a triangle inequality for weaving frames in Hilbert spaces, which is structurally different from previous ones. View Full-Text
Keywords: frame; weaving frame; weaving frame operator; alternate dual frame; Hilbert space frame; weaving frame; weaving frame operator; alternate dual frame; Hilbert space
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Xiang, Z.-Q. More on Inequalities for Weaving Frames in Hilbert Spaces. Mathematics 2019, 7, 141.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top