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On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications

Dragomir, Sever S and Cho, Yeol Je and Kim, Seong Sik and Kim, Young-Ho (2008) On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications. Kyungpook Mathematical Journal, 48 (2). pp. 207-222. ISSN 1225-6951

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Official URL: http://kmj.knu.ac.kr/

Abstract

A new counterpart of Bessel’s inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr¨uss inequality for determinantal integral inequalities are also provided.

Item Type: Article
Uncontrolled Keywords: ResPubID15174. Bessel’s inequality, Gr¨uss inequality, 2-inner product spaces, Lebesgue integral, Synchronous functions.
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
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Depositing User: VUIR
Date Deposited: 13 Oct 2011 01:33
Last Modified: 12 Mar 2015 03:40
URI: http://vuir.vu.edu.au/id/eprint/3647
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Citations in Scopus: 1 - View on Scopus

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