![](/images/graphics-bg.png)
On the Property N-1
Joint Authors
Kowalczyk, Stanisław
Turowska, Małgorzata
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-03
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We construct a continuous function f:[0,1]→R such that f possesses N-1-property, but f does not have approximate derivative on a set of full Lebesgue measure.
This shows that Banach’s Theorem concerning differentiability of continuous functions with Lusin’s property (N) does not hold for N-1-property.
Some relevant properties are presented.
American Psychological Association (APA)
Kowalczyk, Stanisław& Turowska, Małgorzata. 2016. On the Property N-1. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1079419
Modern Language Association (MLA)
Kowalczyk, Stanisław& Turowska, Małgorzata. On the Property N-1. Abstract and Applied Analysis No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1079419
American Medical Association (AMA)
Kowalczyk, Stanisław& Turowska, Małgorzata. On the Property N-1. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1079419
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1079419