INEQUALITIES FOR HYPO-q-NORMS ON A CARTESIAN PRODUCT OF INNER PRODUCT SPACES

Authors

DOI:

https://doi.org/10.37560/matbil219005d

Keywords:

Normed spaces, Cartesian products of normed spaces, inequalities, reverse inequalities, Shisha-Mond, Birnacki inequality, Grüss type inequalities, Boas-Bellman and Bombieri type inequalities

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.

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Published

2019-01-01

Issue

Vol. 43 No. 2 (2019): 43 (LXIX) 2 (2019)

Section

Articles

License

Copyright (c) 2019 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. S. Dragomir, “INEQUALITIES FOR HYPO-q-NORMS ON A CARTESIAN PRODUCT OF INNER PRODUCT SPACES”, Mat. Bilt., vol. 43, no. 2, pp. 5–29, Jan. 2019, doi: 10.37560/matbil219005d.