Title : ( Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation )
Authors: Mohammad Janfada , Rahele Shourvazi ,
Full TextAbstract
In this paper we study general solutions and generalized Hyers-Ulam-Rassias stability of the following n-dimentional function equation \\[ f(\\sum_{i=1}^{k}x_{i})+(k-2)\\sum_{i=1}^{k}f(x_{i})=\\sum_{i=1}^{k}\\sum_{j=1,j>i}^{k} f(x_{i}+x_{j}) ,~ k\\geq3, \\] on non-Archimedean Banach spaces.
Keywords
, Hyers-Ulam-Rassias Stability, Quadratic-Additive Functional Equation
@article{paperid:1027089,
author = {Janfada, Mohammad and Rahele Shourvazi},
title = {Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation},
journal = {Abstract and Applied Analysis},
year = {2011},
volume = {2011},
number = {1},
month = {April},
issn = {1085-3375},
pages = {1--19},
numpages = {18},
keywords = {Hyers-Ulam-Rassias Stability; Quadratic-Additive Functional Equation},
}
%0 Journal Article
%T Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation
%A Janfada, Mohammad
%A Rahele Shourvazi
%J Abstract and Applied Analysis
%@ 1085-3375
%D 2011
