Deforming Minkowski Norms to Euclidean Norms
- Authors: Rovensky V.Y.1
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Affiliations:
- Хайфский университет
- Issue: Vol 223 (2023)
- Pages: 107-111
- Section: Статьи
- URL: https://ogarev-online.ru/2782-4438/article/view/270835
- DOI: https://doi.org/10.36535/0233-6723-2023-223-107-111
- ID: 270835
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Abstract
We study deformations of Minkowski norms with piecewise smooth indicatrices determined by linearly independent 1-forms and a piecewise smooth positive function. Such a deformation of the Euclidean norm generalizes the classical (α, β)-norms by M. Matsumoto. We show that any Minkowski norm can be deformed into a Euclidean norm by a composition of such deformations.
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About the authors
V. Yu. Rovensky
Хайфский университет
Author for correspondence.
Email: vrovenski@univ.haifa.ac.il
Israel, Хайфа
References
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