Title : ( Stability of a generalized Jensen equation on restricted domains )
Authors: Soon-Mo Jung , Mohammad Sal Moslehian , P.K. Sahoo ,
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Abstract
In this paper, we establish the conditional stability of the generalized Jensen functional equation f (ax+by) = ag(x)+bh(y) on various restricted domains such as inside balls, outside balls, and punctured spaces. In addition, we prove the orthogonal stability of this equation and study orthogonally generalized Jensen mappings on balls in inner product spaces.
Keywords
, stability, Jensen’s functional equation, orthogonally Jensen equation, orthogonality space, asymptotic behavior, punctured space.
@article{paperid:1015042,
author = {Soon-Mo Jung and Sal Moslehian, Mohammad and P.K. Sahoo},
title = {Stability of a generalized Jensen equation on restricted domains},
journal = {Journal of Mathematical Inequalities},
year = {2010},
volume = {4},
number = {2},
month = {May},
issn = {1846-579X},
pages = {191--206},
numpages = {15},
keywords = {stability; Jensen’s functional equation; orthogonally Jensen equation; orthogonality
space; asymptotic behavior; punctured space.},
}
%0 Journal Article
%T Stability of a generalized Jensen equation on restricted domains
%A Soon-Mo Jung
%A Sal Moslehian, Mohammad
%A P.K. Sahoo
%J Journal of Mathematical Inequalities
%@ 1846-579X
%D 2010
