Some New Results Related to Bessel and Grüss Inequalities in 2-Inner Product Spaces and Applications

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Dragomir, Sever S, Cho, Yeol Je and Kim, Seong Sik (2003) Some New Results Related to Bessel and Grüss Inequalities in 2-Inner Product Spaces and Applications. RGMIA research report collection, 6 (Supp).

Abstract

Some new reverses of Bessel’s inequality for orthonormal families in real or complex inner product spaces are pointed out. Applications for some Grüss type inequalities and for determinantal integral inequalities are given as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18120
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, Lebesgue integral, synchronous functions
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