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arXiv · 2412.05648

Local and global H\"older- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarevi\'c means

Richárd Grünwald·Zsolt Páles
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Abstract

The aim of this paper is to investigate inequalities that are analogous to the Minkowski and H\"older inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarevi\'c means are considered, in particular, Gini means. A further aim is to introduce the concept of local and global validity of such inequalities and to characterize them in both senses.

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Richárd Grünwald, Zsolt Páles. 2024-12-07. Local and global H\"older- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarevi\'c means. https://arxiv.org/abs/2412.05648

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