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The discrete Orlicz chord Minkowski problem

Part of: General convexity

Published online by Cambridge University Press:  09 December 2024

Suwei Li  and
Hailin Jin
Suwei Li
Affiliation:
Department of Mathematics, Suzhou University of Science and Technology, Suzhou, 215009 China e-mail: [email protected]
Hailin Jin*
Affiliation:
Department of Mathematics, Suzhou University of Science and Technology, Suzhou, 215009 China e-mail: [email protected]
*
e-mail: [email protected]
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Abstract

In this paper, we consider the discrete Orlicz chord Minkowski problem and solve the existence of this problem, which is the nontrivial extension of the discrete $L_{p}$ chord Minkowski problem for ${0<p<1}$.

Keywords

Chord integralchord measurechord Minkowski problem

MSC classification

Primary: 52A40: Inequalities and extremum problems
Type
Article
Information
Canadian Mathematical Bulletin , Volume 68 , Issue 1 , March 2025 , pp. 154 - 165
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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Footnotes

Project supported by National Nature Science Foundation of China No. 12071334 and No. 12071277.

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