학술논문

On the third moduli of continuity
Document Type
Academic Journal
Source
Ukrainian Mathematical Journal. March, 2015, Vol. 66 Issue 10, p1589, 6 p.
Subject
Language
English
ISSN
0041-5995
Abstract
An inequality for the third uniform moduli of continuity is proved. This inequality implies that an arbitrary 3-majorant is not necessarily a modulus of continuity of order 3.
UDC 517.518.2 For a function f : R [right arrow] , we first consider the second and third finite differences at a point x [member of] R with increments h [...]