Title : ( THE JENSEN FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES )
Authors: farzad dadipour , Mohammad Sal Moslehian ,
Free PreviewAccess to full-text not allowed by authors
Abstract
We investigate the stability of the Jensen functional equation f( x+y 2 ) = f(x)+f(y) 2 in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen difference. In particular, we show that a mapping f between non-Archimedean spaces with f(0) = 0 is additive if and only if f x + y 2 − f(x) + f(y) 2 ! 0 as max {kxk, kyk} ! 1.
Keywords
, Hyers–Ulam–Rassias stability; Jensen functional equation; asymptotic behavior; non, Archimedean normed space.
@inproceedings{paperid:1006985,
author = {Dadipour, Farzad and Sal Moslehian, Mohammad},
title = {THE JENSEN FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES},
booktitle = {کنفرانس نامساویهای ریاضی},
year = {2008},
location = {تروگیر},
keywords = {Hyers–Ulam–Rassias stability; Jensen functional equation;
asymptotic behavior; non-Archimedean normed space.},
}
%0 Conference Proceedings
%T THE JENSEN FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES
%A Dadipour, Farzad
%A Sal Moslehian, Mohammad
%J کنفرانس نامساویهای ریاضی
%D 2008
