Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Minkowski sums of Cantor-type sets

100%
Nikodem K., Páles Z.
Colloquium Mathematicum
|
2010
|
tom 119
|
nr 1
95-108
EN
The classical Steinhaus theorem on the Minkowski sum of the Cantor set is generalized to a large class of fractals determined by Hutchinson-type operators. Numerous examples illustrating the results obtained and an application to t-convex functions are presented.
2
Content available remote

A selection theorem of Helly type and its applications

100%
Behrends E., Nikodem K.
Studia Mathematica
|
1995
|
tom 116
|
nr 1
43-48
EN
We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.
3
Content available remote

Remarks on strongly Wright-convex functions

81%
Merentes N., Nikodem K., Rivas S.
Annales Polonici Mathematici
|
2011
|
tom 102
|
nr 3
271-278
EN
Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.
4
Content available remote

Abstract separation theorems of Rodé type and their applications

81%
Nikodem K., Páles Z., Wąsowicz S.
Annales Polonici Mathematici
|
1999
|
tom 72
|
nr 3
207-217
EN
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
5
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On some class of midconvex functions

70%
Nikodem K.
Annales Polonici Mathematici
|
1989-1990
|
tom 50
|
nr 2
145-151
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.