Convex Geometry I. Definitions, Properties and Fundamental Theorems : Convex and star functions in ...

Convex and star functions in ...
Convex Geometry I. Definitions, Properties and Fundamental Theorems

Author : Jean-Charles PINOLI

Publication date: November 10, 2020 | Lire en français

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8. Convex and star functions in ...

Above: Convex and star functions in $ℝ_{2}^{n}$

8.1 Functional

A functional, generically F, is an application defined on $ℝ_{2}^{n}$ or on a class of subsets of the Euclidean space $ℝ_{2}^{n}$ and with numerical values (i.e. in $ℕ$ ,...

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Bibliography

(1) - ANDERSON (R.D.), KLEE (V.) - Convex functions and upper-semicontinuous collections, - Duke Mathematical Journal, Vol. 19, pp. 349-357 (1952).
(2) - ASPLUND (E.) - Čebyšev sets in Hilbert space, - Transactions of the American Mathematical Society, Vol. 144, pp....

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Convex and star functions in ... Convex Geometry I. Definitions, Properties and Fundamental Theorems

8. Convex and star functions in ...

8.1 Functional

Bibliography

Convex and star functions in ...
Convex Geometry I. Definitions, Properties and Fundamental Theorems