On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications
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Dragomir, Sever S, Cho, Yeol Je, Kim, Seong Sik and Kim, Young-Ho (2003) On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications. RGMIA research report collection, 6 (4).
Abstract
A new counterpart of Bessel’s inequality for orthornormal families in real or complex 2-inner product spaces is obtained. Applications for some Grüss type results with applications for determinantal integral inequalities are also provided.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17856 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Bessel’s inequality, Grüss’ inequality, 2-Inner product spaces, Lebesgue integral, synchronous functions |
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