This analysis reveals hypo-q-norms as equivalent to q-norms on Cartesian products, indicating strong links to classical inequalities.
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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Sever S Dragomir (2025) studied this question.
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