Results 1 to 10 of about 25,187 (160)

Approximation on the Quadratic Reciprocal Functional Equation [PDF]

Journal of Function Spaces, 2014
The quadratic reciprocal functional equation is introduced. The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved.
Abasalt Bodaghi, Sang Og Kim
doaj   +3 more sources

Fuzzy Stability of a Quadratic-Additive Functional Equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0.
Sun Sook Jin, Yang Hi Lee
doaj   +2 more sources

Stability of an additive-quadratic-quartic functional equation

Demonstratio Mathematica, 2020
In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
doaj   +5 more sources

Fuzzy Stability of a General Quadratic Functional Equation [PDF]

Advances in Fuzzy Systems, 2011
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.
Sun Sook Jin, Yang-Hi Lee
doaj   +3 more sources

Characterization and stability analysis of advanced multi-quadratic functional equations

Advances in Difference Equations, 2021
In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi, Hossein Moshtagh, Hemen Dutta   +2 more
doaj   +1 more source

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

Journal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi, Hossein Moshtagh, Amir Mousivand   +2 more
doaj   +1 more source

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n,β-Normed Spaces

Journal of Function Spaces, 2021
In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa, K. Tamilvanan, K. Loganathan, K. Kalai Selvi   +3 more
doaj   +1 more source

A New Approach to Hyers-Ulam Stability of r-Variable Quadratic Functional Equations

Journal of Function Spaces, 2021
In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Nallappan Gunasekaran, R. Vadivel   +4 more
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

International Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Fuzzy Stability of Quadratic Functional Equations [PDF]

Advances in Difference Equations, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong Yun Shin, Choonkil Park, Sun-Young Jang, Jung Rye Lee   +3 more
openaire   +4 more sources