scholarly journals Approximate mixed type quadratic-cubic functional equation

2021 ◽  
Vol 6 (4) ◽  
pp. 3546-3561
Author(s):  
Zhihua Wang ◽  
Keyword(s):  
Functional Equation ◽  
Mixed Type ◽  
Cubic Functional Equation

scholarly journals Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
S. Kaboli Gharetapeh ◽  
J. M. Rassias ◽  
S. Zolfaghari
Keyword(s):  
Functional Equation ◽  
Mixed Type ◽  
Cubic Functional Equation

scholarly journals Stability of a mixed type additive, quadratic and cubic functional equation in random normed spaces

Filomat ◽  
2011 ◽  
Vol 25 (3) ◽  
pp. 43-54 ◽  
Author(s):  
Eshaghi Gordji ◽  
Bavand Savadkouhi
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Mixed Type ◽  
Stability Result ◽  
Normed Spaces ◽  
Cubic Functional Equation ◽  
Random Normed Spaces ◽  
The Stability

In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(x+3y)+f(x?3y)= 9(f(x+y)+f(x?y))?16f(x).

scholarly journals ON THE STABILITY OF A MIXED TYPE QUADRATIC AND CUBIC FUNCTIONAL EQUATION

2012 ◽  
Vol 19 (4) ◽  
pp. 383-396
Author(s):  
Chang-Ju Lee ◽  
Yang-Hi Lee
Keyword(s):  
Functional Equation ◽  
Mixed Type ◽  
Cubic Functional Equation ◽  
The 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 Additive-cubic functional equations from additive groups into non-Archimedean Banach spaces

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 731-738
Author(s):  
Gordji Eshaghi ◽  
Bavand Savadkouhi ◽  
M. Bidkham
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Functional Equations ◽  
Mixed Type ◽  
Ulam Stability ◽  
Cubic Functional Equation

In this paper, we establish the generalized Hyres-Ulam stability of the mixed type additive-cubic functional equation ?(2x + y) + ?(2x - y) = 2? (x + y) + 2?(x - y) + 2?(2x) - 4?(x) from additive groups into non-Archimedean Banach spaces.

Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces

2018 ◽  
Vol 51 (1) ◽  
pp. 106-111
Author(s):  
Ramdoss Murali ◽  
Sandra Pinelas ◽  
Aruldass Antony Raj
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Functional Equations ◽  
Mixed Type ◽  
Cubic Functional Equation

Abstract In this paper, we establish the Hyers-Ulam orthogonal stability of the mixed type additive-cubic functional equation in multi-Banach spaces.

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

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

scholarly journals Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Murali Ramdoss ◽  
Divyakumari Pachaiyappan ◽  
Choonkil Park ◽  
Jung Rye Lee
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Research Paper ◽  
Fixed Point Method ◽  
Quadratic Functional ◽  
Ulam Stability ◽  
Modular Spaces

AbstractThis research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.

scholarly journals The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces

2020 ◽  
Vol 53 (1) ◽  
pp. 174-192
Author(s):  
Anurak Thanyacharoen ◽  
Wutiphol Sintunavarat
Keyword(s):  
Functional Equation ◽  
Normed Space ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Group ◽  
Ulam Stability ◽  
Quartic Functional Equation ◽  
The Stability

AbstractIn this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.

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