Reversing the CBS-Inequality for Sequences of Vectors in Hilbert Spaces with Applications (I)

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Dragomir, Sever S (2005) Reversing the CBS-Inequality for Sequences of Vectors in Hilbert Spaces with Applications (I). Research report collection, 8 (Supp).

Abstract

Several reverses for the Cauchy-Bunyakovsky-Schwarz (CBS) inequality for sequences of vectors in Hilbert spaces are obtained. Applications for bounding the distance to a finite-dimensional subspace, in reversing the generalised triangle inequality and for Fourier coefficients are also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18030
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords CSB-inequality, Gram determinant, Gram inequality, Fourier coefficients, triangle inequality
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