On a Property of the Legendre Transform

A. A. Mogul’skiĭ

doi:10.3103/S1055134418010066

On a Property of the Legendre Transform

A. A. Mogul’skiĭ

Кафедра теории вероятностей и математической статистики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

For a pair of convex lower semicontinuous functions connected by the Legendre transform, we establish that their derivatives are mutually inverse functions (in the generalized sense).

Язык оригинала	английский
Страницы (с-по)	65-73
Число страниц	9
Журнал	Siberian Advances in Mathematics
Том	28
Номер выпуска	1
DOI	https://doi.org/10.3103/S1055134418010066
Состояние	Опубликовано - 1 янв 2018

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10.3103/S1055134418010066

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KW - generalized inverse function

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KW - logarithm of the Laplace transform

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On a Property of the Legendre Transform

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