Article
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Inequalities for Hypo-q-Norms on a Cartesian Product of Inner Product Spaces
Version 1
: Received: 15 November 2017 / Approved: 15 November 2017 / Online: 15 November 2017 (17:00:56 CET)
How to cite: Dragomir, S. Inequalities for Hypo-q-Norms on a Cartesian Product of Inner Product Spaces. Preprints 2017, 2017110097. https://doi.org/10.20944/preprints201711.0097.v1 Dragomir, S. Inequalities for Hypo-q-Norms on a Cartesian Product of Inner Product Spaces. Preprints 2017, 2017110097. https://doi.org/10.20944/preprints201711.0097.v1
Abstract
In this paper we introduce the hypo-q-norms on a Cartesian product of inner product spaces. A representation of these norms in terms of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al., Grüss type inequalities, Boas-Bellman and Bombieri type inequalities are also given.
Keywords
hypo-q-norms, Cartesian product
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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