On Bessel and Grüss inequalities for orthonormal families in inner product spaces-Reference-Cited by-同舟云学术

On Bessel and Grüss inequalities for orthonormal families in inner product spaces

Published:2004-04 Issue:2 Volume:69 Page:327-340
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Dragomir S. S.

Abstract

A new reverse of Bessel's inequality for orthornormal families in real or complex inner product space is obtained. Applications for some Grüss type results are also provided.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. A new generalisation of Grüss inequality in inner product spaces;Ujević;Math. Ineq. Appl.,2003

2. A counterpart of Bessel's inequality in inner product spaces and some Grüss type related results;Dragomir;RGMIA Res. Rep. Coll.,2003

3. Some Grüss’ type inequalities in inner product spaces;Dragomir;J. Ineq. Pure Appl. Math.,2003

4. A Generalization of Grüss's Inequality in Inner Product Spaces and Applications

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Pre-Grüss and Grüss-Ostrowski like inequalities in Banach spaces;Mathematical Inequalities & Applications;2022

2. About the Cauchy–Bunyakovsky–Schwarz Inequality for Hilbert Space Operators;Symmetry;2021-02-11

3. The orthogonal projections and several inequalities;Mathematical Inequalities & Applications;2021

4. Some Refinements of Ostrowski’s Inequality and an Extension to a 2-Inner Product Space;Symmetry;2019-05-23

5. On the Cauchy-Schwarz inequality and several inequalities in an inner product space;Mathematical Inequalities & Applications;2019