Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Journal of Applied Analysis

1 2003

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: second-order characterizations of convex and pseudoconvex functions

Sortuj według:

Ogranicz wyniki do:

Second-order characterizations of convex and pseudoconvex functions

Ginchev I., Ivanov V. I.

Journal of Applied Analysis

2003

Vol. 9, nr 2

261-273

The present paper gives characterizations of radially u.s.c. convex and pseudoconvex functions f: X —> R defined on a convex subset X of a real linear space E in terms of first and second-order upper Dini-directional derivatives. Observing that the property f radially u.s.c. does not require a topological structure of E, we draw the possibility to state our results for arbitrary real linear spaces. For convex functions we extend a theorem of Huang, Ng [10]. For pseudoconvex functions we generalize results of Diewert, Avriel, Zang [6] and Crouzeix [4]. While some known results on pseudoconvex functions are stated in global concepts (e.g. Komlosi [11]), we succeeded in realizing the task to confine to local concepts only.