ON THE HYERS-ULAM STABILITY OF THE QUADRATIC AND JENSEN FUNCTIONAL EQUATIONS ON A RESTRICTED DOMAIN
Abstract
The aim of the present paper is to prove the Hyers-Ulam stability of the quadratic functional equation
f(x + y) + f(x + \sigma(y)) = 2f(x) + 2f(y), x, y \in E
and the Jensen functional equation
f(x + y) + f(x + \sigma(y)) = 2f(x), x, y \in E
on a restricted domain, where \sigma is an involution of the normed space E.
f(x + y) + f(x + \sigma(y)) = 2f(x) + 2f(y), x, y \in E
and the Jensen functional equation
f(x + y) + f(x + \sigma(y)) = 2f(x), x, y \in E
on a restricted domain, where \sigma is an involution of the normed space E.
Refbacks
- There are currently no refbacks.
ISSN: 1229-1595 (Print), 2466-0973 (Online)
(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea