The Extended Legendre Transform and Related Variational Principles

被引：0
|
作者：
A. B. Antonevich
E. Yu. Leonova
机构：
[1] Belarusian State University,
[2] HiQo Solutions,undefined
[3] Inc.,undefined
来源：
Mathematical Notes | 2020年 / 107卷
关键词：
Legendre transform; variational principle; spectral radius;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Variational principles for functionals on the space C(X) of continuous functions that can be written as a representation of a functional in the form of the Legendre transform of the dual functional are considered. The formula of the Legendre transform determines a functional on wider sets of functions, and this functional is called the extended Legendre transform. Functionals that can be represented in the form of the extended Legendre transform are described. Applications to the problem of finding the spectral radius of functional operators are given.
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页码：369 / 382
页数：13
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