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Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
Additive function Quadratic function Cubic function Quartic function Generalized Hyers-Ulam-Rassias stability Ulam-Gavruta-Rassias stability J.M. Rassias stability
2010/4/16
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation for fixed integers with ![]()
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Approximation of a Mixed Functional Equation in Quasi-Banach Spaces
Generalized Hyers-Ulam stability additive function cubic function quasi-Banach space $p$-Banach space
2010/1/22
In this paper we establish the general solution of the functional equation and investigate its generalized Hyers-Ulam stability in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stab...
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...