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Hyers-Ulam-Rassias RNS Approximation of Euler-Lagrange-Type Additive Mappings
Joint Authors
Ebadian, A.
Rezaei, H.
Zohdi, A. R.
Azadi Kenary, Hassan
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Recently the generalized Hyers-Ulam (or Hyers-Ulam-Rassias) stability of the following functional equation ∑j=1mf(-rjxj+∑1≤i≤m,i≠jrixi)+2∑i=1mrif(xi)=mf(∑i=1mrixi) where r1,…,rm∈ℝ, proved in Banach modules over a unital C*-algebra.
It was shown that if ∑i=1mri≠0, ri, rj≠0 for some 1≤i In this paper we prove the Hyers-Ulam-Rassias stability of the above mentioned functional equation in random normed spaces (briefly RNS).
American Psychological Association (APA)
Azadi Kenary, Hassan& Rezaei, H.& Ebadian, A.& Zohdi, A. R.. 2012. Hyers-Ulam-Rassias RNS Approximation of Euler-Lagrange-Type Additive Mappings. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029700
Modern Language Association (MLA)
Azadi Kenary, Hassan…[et al.]. Hyers-Ulam-Rassias RNS Approximation of Euler-Lagrange-Type Additive Mappings. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029700
American Medical Association (AMA)
Azadi Kenary, Hassan& Rezaei, H.& Ebadian, A.& Zohdi, A. R.. Hyers-Ulam-Rassias RNS Approximation of Euler-Lagrange-Type Additive Mappings. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029700