Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2015; 52(6): 1759-1776
Printed November 30, 2015
https://doi.org/10.4134/BKMS.2015.52.6.1759
Copyright © The Korean Mathematical Society.
A generalized additive-quartic functional equation and its stability
Charinthip Hengkrawit and Anurak Thanyacharoen
Thammasat University, Muban Chombueng Rajabhat University
We determine the general solution of the generalized additive-quartic functional equation $f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)-13\left[f(x+y)+f(x-y)\right]+24f(y)-12f(2y) = 0$ without assuming any regularity conditions on the unknown function $f : \R \to \R$ and its stability is investigated.
Keywords: functional equation, Fr\'{e}chet functional equation, additive function, quartic function, difference operator, stability
MSC numbers: 39B22, 39B82
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
On the general solution of a quartic functional equation
2003; 40(4): 565-576
-
Stability of a cubic functional equation on groups
2004; 41(2): 347-357
-
Quadratic functional equations associated with Borel functions and module actions
2009; 46(3): 499-510
-
Multiplicative functions commutable with binary quadratic forms $x^2 \pm xy + y^2$
2023; 60(1): 75-81
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd