The week's pick
Random Articles
Reseach Article
On the Stability of Quadratic Functional Equation
by
Sushma
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 110 - Number 16 |
| Year of Publication: 2015 |
| Authors: Sushma |
10.5120/19405-1057
|
Sushma . On the Stability of Quadratic Functional Equation. International Journal of Computer Applications. 110, 16 ( January 2015), 41-45. DOI=10.5120/19405-1057
@article{
10.5120/19405-1057,
author = {
Sushma
},
title = { On the Stability of Quadratic Functional Equation },
journal = {
International Journal of Computer Applications
},
issue_date = { January 2015 },
volume = { 110 },
number = { 16 },
month = { January },
year = { 2015 },
issn = { 0975-8887 },
pages = {
41-45
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume110/number16/19405-1057/
},
doi = { 10.5120/19405-1057 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:46:39.170923+05:30
%A Sushma
%T On the Stability of Quadratic Functional Equation
%J International Journal of Computer Applications
%@ 0975-8887
%V 110
%N 16
%P 41-45
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper the stability of quadratic functional equation, f(xy)+f(xy-1)=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional equation may not be stable in any abelian group.
References
- Aoki,T. , (1950) "On stability of the linear transformation in Banach spaces," Journal of the Mathematical Society of Japan, 2,64-66
- Chang, S. and Kim,H. M. , (2002), On the Hyer-Ulam stability of a quadratic functional equations, J. Ineq. Appl. Math. , 33, 1-12.
- Chang,S. , Lee,E. H. and Kim,H. M. , (2003)On the Hyer-Ulam Rassias stability of a quadratic functional equations, Math. Ineq. Appl. Math. , 6(1), 87-95.
- Cholewa,P. W (1984) Remarks on the stability of functional equations, Aequationes Math. , 27, 76-86.
- Czerwik,S. , (1992),On the stability of a quadratic mappings in normed spaces, Abh. Math. Sem. Univ. Hamburg. ,62, 59-64.
- Gavruta,P. , (1994) A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. , 184,431-436.
- Gruber,P. M. , (1978), Stability of isometries, Trans. Amer. Math. Soc. 245, 263-277.
- Hyers,D. H. and Rassias,T. M. , (1992) Approximate homomorphism, Aequationes Math. , 44,125-153.
- Hyers,D. H. , Isac, G. , and Rassias, Th. M. , (1998), Stability of functional equations in several variables, Birkhauser Basel.
- Hyers,D. H. , (1941) On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U. S. A. , 27, 222-223.
- Hyers,D. H. , Isac, G. and Rassias,Th. M. , (1998) On the asymptotically of Hyer-Ulam stability of mappings, Proc. Amer. Math. Soc. , 126),425-430.
- Jang,S. Y. , Lee,J. R. , Park,C. and Shin,D. Y. , (2009)Fuzzy stability of Jensen-type Quadratic functional equations, Abstract and Applied Analysis, pp-17.
- Mirzavaziri,M. and Moslehian,M. S. , A fixed point approach to stability of Quadratic equation, arXivimath/0512007v1 [math. FA] 1 Dec 2005.
- Rassias,T. M. , (1978) On stability of linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72, 297-300.
- SKOF,F. , (1983) Proprieta localie approssimazione di operatori, Rend. Sem. Mat. Fis. Milano, 53, 113-129
- Ulam,S. M. , (1960) A collection of Mathematical Problems, Interscience tracts in Pure and Applied Mathematics, U. S. A 16.
- Ulam,S. M. , 1963, Problems in Modern Mathematics, John Wiley & Sons, New York, USA,.
Index Terms
Computer Science
Information Sciences
Keywords