Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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