TITLE

Functional Equations Related to Inner Product Spaces

AUTHOR(S)
Park, Choonkil; Park, Won-Gil; Najati, Abbas
PUB. DATE
January 2009
SOURCE
Abstract & Applied Analysis;2009, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Let V,W be real vector spaces. It is shown that an odd mapping f : V → W satisfies Σ2ni-1f(xi − 1/2nΣ2n j(1xi= Σ2ni=1f(xi) − 2nf(1/2nΣ2ni=1xi) for all x1, . . . , x2n ∈ V if and only if the odd mapping f : V → W is Cauchy additive. Furthermore, we prove the generalized Hyers-Ulam stability of the above functional equation in real Banach spaces.
ACCESSION #
55252844

 

Related Articles

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics