Distance to Spaces of Semicontinuous and Continuous Functions
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Given a topological space X, we establish formulas to compute the distance from a function f∈RX to the spaces of upper semicontinuous functions and lower semicontinuous functions.
For this, we introduce an index of upper semioscillation and lower semioscillation.
We also establish new formulas about distances to some subspaces of continuous functions that generalize some classical results.
American Psychological Association (APA)
Angosto, Carlos. 2019. Distance to Spaces of Semicontinuous and Continuous Functions. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1174976
Modern Language Association (MLA)
Angosto, Carlos. Distance to Spaces of Semicontinuous and Continuous Functions. Journal of Function Spaces No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1174976
American Medical Association (AMA)
Angosto, Carlos. Distance to Spaces of Semicontinuous and Continuous Functions. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1174976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174976