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Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation
Group Additive equation Quadratic equation Hyers-Ulam-Rassias stability
2008/7/1
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation.
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation
Group Additive equation Quadratic equation Hyers-Ulam-Rassias stability
2008/7/1
Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation.
The Generalized Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation
Quadratic functional equation Hyers-Ulam-Rassias stability
2008/6/26
The Generalized Hyers-Ulam-Rassias Stability of a Quadratic Functional.
CAUCHY-RASSIAS STABILITY OF CAUCHY-JENSEN ADDITIVE MAPPINGS IN BANACH SPACES
Cauchy additive mapping Jensen additive mapping Cauchy--Rassias stability isomorphism between Banach algebra
2007/12/11
Let $X, Y$ be vector spaces. It is shown that if a mapping $f : X \rightarrow Y$ satisfies $$\align &f\bigg(\frac{x+y}{2}+z\bigg) + f\bigg(\frac{x-y}{2}+z\bigg) = f(x)+2f(z) , \tag 0.1 \&f\bigg(\frac{...
The Generalized Hyers--Ulam--Rassias Stability of a Cubic Functional Equation
Hyers--Ulam--Rassias stability Quadratic function Cubic function
2010/2/26
In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \g...