On the Hyers-Ulam-Rassias stability of an additive-cubic functional equation

2019 ◽  
Vol 13 (5) ◽  
pp. 213-221
Author(s):  
Sun-Sook Jin ◽  
Yang-Hi Lee
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

2002 ◽  
Vol 274 (2) ◽  
pp. 867-878 ◽  
Author(s):  
Kil-Woung Jun ◽  
Hark-Mahn Kim
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals On the Hyers-Ulam-Rassias stability of a general cubic functional equation

2003 ◽  
pp. 289-302 ◽  
Author(s):  
Kil-Woung Jun ◽  
Hark-Mahn Kim
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals Solution and stability of a mixed type functional equation

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1229-1239 ◽  
Author(s):  
Pasupathi Narasimman ◽  
Abasalt Bodaghi
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Mixed Type ◽  
Cubic Functional Equation ◽  
The Stability ◽  
Rassias Stability

In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam-Rassias stability for the new mixed type additive and cubic functional equation 3f(x+3y) - f(3x+y)=12[f(x+y)+f(x-y)] - 16[f(x)+f(y)]+12f(2y)-4f(2x). As some corollaries, we show that the stability of this equation can be controlled by the sum and product of powers of norms.

scholarly journals HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

2007 ◽  
Vol 44 (4) ◽  
pp. 825-840 ◽  
Author(s):  
Abbas Najati
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

Stability and non-stability of generalized radical cubic functional equation in quasi-$\beta$-Banach spaces

2019 ◽  
Vol 12 (3) ◽  
pp. 175-190
Author(s):  
Iz-iddine EL-Fassi ◽  
John Michael Rassias
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Cubic Functional Equation

scholarly journals Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
M. Janfada ◽  
R. Shourvazi
Keyword(s):  
Functional Equation ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
General Solutions ◽  
Rassias Stability

We study general solutions and generalized Hyers-Ulam-Rassias stability of the following -dimensional functional equation , , on non-Archimedean normed spaces.

scholarly journals Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation

2012 ◽  
Vol 2012 (1) ◽  
pp. 111 ◽  
Author(s):  
H Azadi Kenary ◽  
H Rezaei ◽  
M Sharifzadeh ◽  
DY Shin ◽  
JR Lee
Keyword(s):  
Functional Equation ◽  
Rassias Stability

scholarly journals HUR-approximation of an ELTA functional equation

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4311-4328
Author(s):  
A.R. Sharifi ◽  
Azadi Kenary ◽  
B. Yousefi ◽  
R. Soltani
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Linear Mapping ◽  
Stability Theorem ◽  
Normed Spaces ◽  
The Stability ◽  
Rassias Stability

The main goal of this paper is study of the Hyers-Ulam-Rassias stability (briefly HUR-approximation) of the following Euler-Lagrange type additive(briefly ELTA) functional equation ?nj=1f (1/2 ?1?i?n,i?j rixi- 1/2 rjxj) + ?ni=1 rif(xi)=nf (1/2 ?ni=1 rixi) where r1,..., rn ? R, ?ni=k rk?0, and ri,rj?0 for some 1? i < j ? n, in fuzzy normed spaces. The concept of HUR-approximation originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.

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