On the Boas-Bellman Generalization of Bessel's Inequality in Inner Product Spaces

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Dragomir, Sever S and Mond, B On the Boas-Bellman Generalization of Bessel's Inequality in Inner Product Spaces. RGMIA research report collection.

Abstract

In this paper we point out a generalization of an inequality due to Boas and Bellman which generalizes, in turn, the well-known Bessel inequality in inner product spaces. Some related results are also pointed out. These results complement, in a sense, some results of Chapter XV of the recent book of Mitrinović, Pečarić and Fink.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18264
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 inequalities, Bessel inequality, Schwarz inequality, Boas and Bellman inequality, Hölder inequality
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