Second Order Ideal-Ward Continuity
Author
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The main aim of the paper is to introduce a concept of second order ideal-ward continuity in the sense that a function f is second order ideal-ward continuous if I-limn→∞Δ2f(xn)=0 whenever I-limn→∞Δ2xn=0 and a concept of second order ideal-ward compactness in the sense that a subset E of R is second order ideal-ward compact if any sequence x=(xn) of points in E has a subsequence z=(zk)=(xnk) of the sequence x such that I-limk→∞Δ2zk=0 where Δ2zk=zk+2-2zk+1+zk.
We investigate the impact of changing the definition of convergence of sequences on the structure of ideal-ward continuity in the sense of second order ideal-ward continuity and compactness of sets in the sense of second order ideal-ward compactness and prove related theorems.
American Psychological Association (APA)
Hazarika, Bipan. 2014. Second Order Ideal-Ward Continuity. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-474948
Modern Language Association (MLA)
Hazarika, Bipan. Second Order Ideal-Ward Continuity. International Journal of Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-474948
American Medical Association (AMA)
Hazarika, Bipan. Second Order Ideal-Ward Continuity. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-474948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474948