Zastosuj identyfikator do podlinkowania lub zacytowania tej pozycji:
http://hdl.handle.net/20.500.12128/9098
Tytuł: | Hlawka's functional inequality |
Autor: | Fechner, Włodzimierz |
Słowa kluczowe: | Functional inequality; Hlawka’s inequality; Popoviciu’s inequality; sublinear mapping; additive mapping; linear mapping; quadratic mapping; Dini derivative; quadrilateral space; Hlawka space |
Data wydania: | 2014 |
Źródło: | Aequationes Mathematicae, Vol. 87, no. 1/2 (2014), s. 71-87 |
Abstrakt: | The paper is devoted to the functional inequality (called by us Hlawka’s functional
inequality)
f(x + y) + f(y + z) + f(x + z) ≤ f(x + y + z) + f(x) + f(y) + f(z)
for the unknown mapping f defined on an Abelian group, on a linear space or on the real
line. The study of the foregoing inequality is motivated by Hlawka’s inequality:
x + y + y + z + x + z ≤ x + y + z + x + y + z ,
which in particular holds true for all x, y, z from a real or complex inner product space. |
URI: | http://hdl.handle.net/20.500.12128/9098 |
DOI: | 10.1007/s00010-012-0178-2 |
ISSN: | 0001-9054 |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
|