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On Bessel`s and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 2,  2008, pp.207-222
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.2.207
Title & Authors
On Bessel`s and Grüss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
Dragomir, Sever Silverstru; Cho, Yeol-Je; Kim, Seong-Sik; Kim, Young-Ho;

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$\small{\"{u}}$ss inequality for determinantal integral inequalities are also provided.
Keywords
Bessel`s inequality;Gr$\small{\"{u}}$ss inequality;2-inner product spaces;Lebesgue integral;Synchronous functions;
Language
English
Cited by
References
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Y. J. Cho, C. S. Lin, S. S. Kim and A. Misiak, Theory of 2-Inner Product Spaces, Nova Science Publishers, Inc., New York, 2001.

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3.
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