Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results

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Brnetic, Ilko, Dragomir, Sever S, Hoxha, Razim and Pecaric, Josip (2008) Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results. The Australian Journal of Mathematical Analysis and Applications, 5 (2). pp. 1-10. ISSN 1449-5910

Abstract

There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature. We obtain here a general integral inequality comprising some of those results and also provide other related inequalities. The discrete case, which is of interest in its own turn, is also analysed

Item type Article
URI https://vuir.vu.edu.au/id/eprint/3530
Official URL http://ajmaa.org/Volumes/Volume%205%20Issue%202%20...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15206. inner product, Hilbert spaces, Lebesgue measure, cauchy-bunyakovski-schwarz inequality
Citations in Scopus 0 - View on Scopus
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