Title : ( Stability of monomial functional equation in quasi normed spaces )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
Abstract. Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X to Y , which satisfies the inequality || Delta ^n_x f(y) − n!f(x)|| < gi(x, y) for suitable control function g there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of t to f(tx) and t to g (tx, ty) imply the continuity of t to M(tx).
Keywords
, Key words: quasi p-norm, monomial functional equation, fixed point alternative, Hyers–Ulam–Rassias stability.
@article{paperid:1016752,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Stability of monomial functional equation in quasi normed spaces},
journal = {Bulletin of the Korean Mathematical Society },
year = {2010},
volume = {4},
number = {47},
month = {June},
issn = {1015-8634},
pages = {777--785},
numpages = {8},
keywords = {Key words: quasi p-norm; monomial functional equation; fixed point alternative;
Hyers–Ulam–Rassias stability.},
}
%0 Journal Article
%T Stability of monomial functional equation in quasi normed spaces
%A Kamel Mirmostafaee, Seyyed Alireza
%J Bulletin of the Korean Mathematical Society
%@ 1015-8634
%D 2010
