Results 11 to 20 of about 4,701,227 (283)

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   +4 more sources

Quadratic functional equations of Pexider type

International Journal of Mathematics and Mathematical Sciences, 2000
First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
doaj   +2 more sources

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
core   +7 more sources

On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation

Mathematics, 2019
The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam&
Yang-Hi Lee
doaj   +2 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   +3 more sources

Random Stability of an Additive-Quadratic-Quartic Functional Equation [PDF]

Journal of Inequalities and Applications, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x−2y)=2f(x+y)+2f(−x−y)+2f(x−y)+2f(y−x)−4f(−x)−2f(
R. Saadati, P. Vetro, C. Park, M. Mohamadi, Y. J. Cho   +4 more
doaj   +3 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   +4 more sources

Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation [PDF]

Journal of Inequalities and Applications, 2010
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation: in fuzzy Banach spaces.
Park Choonkil
doaj   +3 more sources

Generalized Stability of Euler-Lagrange Quadratic Functional Equation [PDF]

Abstract and Applied Analysis, 2012
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
doaj   +2 more sources

On the Stability of Quadratic Functional Equations in F-Spaces [PDF]

Journal of Function Spaces, 2016
The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.
Xiuzhong Yang
doaj   +2 more sources