Title : ( The Jensen functional equation in non‐Archimedean normed spaces )
Authors: Mohammad Sal Moslehian ,
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Abstract
We investigate the Hyers{Ulam{Rassias stability of the Jensen functional equation in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen di®erences. In particular, we show that a mapping f between non-Archimedean spaces with f(0) = 0 is additive if and only if kf( x + y 2 ) ¡ f(x) + f(y) 2 k ! 0 as max fkxk; kykg ! 1.
Keywords
, stability, Jensen functional equation, asymptotic behavior, non-Archimedean normed space
@article{paperid:1010433,
author = {Sal Moslehian, Mohammad},
title = {The Jensen functional equation in non‐Archimedean normed spaces},
journal = {Journal of Function Spaces and Applications},
year = {2009},
volume = {7},
number = {1},
month = {March},
issn = {0972-6802},
pages = {13--24},
numpages = {11},
keywords = {stability; Jensen functional equation; asymptotic
behavior; non-Archimedean normed space},
}
%0 Journal Article
%T The Jensen functional equation in non‐Archimedean normed spaces
%A Sal Moslehian, Mohammad
%J Journal of Function Spaces and Applications
%@ 0972-6802
%D 2009
