Title
Representation of Continuous Functions and Its Applications
Date Issued
01 December 2013
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidade Católica de Brasilia
Publisher(s)
Springer Science and Business Media, LLC
Abstract
In this work, we introduce a Representation of continuous real-valued functions defined over a real Hilbert space. As a consequence, we can introduce a Sandwich Theorem for semi-continuous functions, a Separation Theorem for closed sets and a representation Theorem of lower semi-continuous functions. © 2013 Springer Science+Business Media New York.
Start page
795
End page
804
Volume
159
Issue
3
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-84887318581
Source
Journal of Optimization Theory and Applications
ISSN of the container
00223239
Sponsor(s)
Acknowledgements The author is thankful to CNPq for the grant “Productividade em pesquisa—PQ— 2012”, to IMPA, where this work started in January of 2012, and to UCB, where the development took place. The author is also thankful to Fernanda Raupp from PUC-Rio and an anonymous referee for their suggestions, which improved this manuscript.
Sources of information:
Directorio de Producción Científica
Scopus