Hypo-q-Norms on a Cartesian Product of Normed Linear Spaces

Silvestru Sever Dragomir

Abstract


In this paper we introduce the hypo-q-norms on a Cartesian product of normed linear spaces. A representation of these norms in terms of bounded linear functionals of norm one, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al. and other Grüss type inequalities are also given.

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References


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DOI: https://doi.org/10.52846/ami.v52i1.1942