TY - JOUR
ID - 46665
TI - On Approximation of Some Mixed Functional Equations
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Najati, Abbas
AU - Noori, Batool
AU - Moghimi, Mohammad Bagher
AD - Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.
Y1 - 2021
PY - 2021
VL - 18
IS - 1
SP - 35
EP - 46
KW - Hyers-Ulam stability
KW - Additive
KW - Quadratic
KW - Drygas
KW - Functional equation
KW - Lebesgue measure zero
KW - Pexider equation
DO - 10.22130/scma.2020.127585.801
N2 - In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38]. Indeed, we investigate the Hyers-Ulam stability problem of the following functional equationsbegin{align*} 2varphi(x + y) + varphi(x - y) &= 3varphi(x)+ 3varphi(y) \ 2psi(x + y) + psi(x - y) &= 3psi(x) + 2psi(y) + psi(-y).end{align*}We also consider the Pexider type functional equation [2psi(x + y) + psi(x - y) = f(x) + g(y),] and the additive functional equation[2psi(x + y) + psi(x - y) = 3psi(x) + psi(y).]
UR - https://scma.maragheh.ac.ir/article_46665.html
L1 - https://scma.maragheh.ac.ir/article_46665_3ce38b61e7b850642214401464923acf.pdf
ER -