International Journal of Statistics and Applied Mathematics
2016, Vol. 1, Issue 4, Part A
Ulam stability of radical functional equation in the sense of Hyers, Rassias and GavrutaAuthor(s):
BV Senthil Kumar, Ashish Kumar and P NarasimmanAbstract:
The aim of this paper is to obtain the general solution of a radical functional equation of the form s(x+y+2√xy)=s(x)+s(y) and investigate its generalized Hyers-Ulam-Rassias stability. Further, we extend the results pertinent to D.H. Hyers, Th.M. Rassias and J.M. Rassias. We also provide counter-examples for critical values relevant to Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by mixed product-sum of powers of norms.Pages: 06-12 | Views: 1226 | Downloads: 35Download Full Article: Click Here
How to cite this article:
BV Senthil Kumar, Ashish Kumar, P Narasimman. Ulam stability of radical functional equation in the sense of Hyers, Rassias and Gavruta. Int J Stat Appl Math 2016;1(4):06-12.