[PDF] Top 20 A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
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A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... Hyers’ theorem is true even if we replace ε and K(ε) by ϕ(x) and Φ(x), where ϕ and Φ are functions not depending on f and F explicitly, the corresponding equation is said to have (or satisfy) the generalized ... See full document
26
A general theorem on the stability of a class of functional equations including monomial equations
... Hyers-Ulam stability problems of monomial functional equations, we have followed out a routine and monotonous procedure for proving the stability of the monomial functional ... See full document
12
Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... The stability problem of functional equations originated from a question of Ulam 13 concerning the stability of group ...Hyers’ theorem was generalized by Aoki 15 for additive ... See full document
22
Random Stability of an Additive Quadratic Quartic Functional Equation
... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional equation was ... See full document
18
Stability of an Additive Cubic Quartic Functional Equation
... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers’ Theorem was generalized by Aoki 3 for additive ... See full document
20
A general uniqueness theorem concerning the stability of monomial functional equations in fuzzy spaces
... a general uniqueness theorem that can easily be applied to the (generalized) Hyers-Ulam stability of a large class of functional equations, which includes monomial ... See full document
11
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional equation was ... See full document
16
Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... Hyers’ theorem for approximately additive ...Hyers’ theorem which allows the Cauchy difference to be ...Hyers-Ulam-Rassias stability of functional equations see ... See full document
17
Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... of quadratic, cubic and quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ... See full document
17
Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... the stability problem of functional equations which was first raised by ...the theorem of Hyers for approximately linear mappings was given by ...Ulam-Rassias stability originates from ... See full document
24
General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
... the stability problems for cubic-quadratic-additive type functional equa- tions, we frequently encounter the cases where we should prove the uniqueness of the ... See full document
12
Approximate Cauchy functional inequality in quasi Banach spaces
... Given a p-norm, the formula d(x,y) := ||x - y|| p gives us a translation invariant metric on X. By the Aoki-Rolewicz theorem [20], each quasi-norm is equivalent to some p-norm (see also [19]). Since it is much ... See full document
11
Solution and stability of system of quartic functional equations
... Gavruta’s theorem for the unbounded Cauchy difference was obtained by Ravi ...The stability problems of several functional equations have been extensively investigated by a number of authors ... See full document
18
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... the functional equation ...proof. Theorem . Let f : R → Y be a ψ -approximatively radical quadratic function with f () = ...unique quartic function H : R → Y which ... See full document
13
Fuzzy Stability of Quadratic Functional Equations
... Hyers-Ulam stability of the quadratic functional equation ...Hyers-Ulam stability of the quadratic functional equation ... See full document
16
Stability of Quartic Functional Equations in the Spaces of Generalized Functions
... the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given ... See full document
16
Nonlinear Fuzzy stability of cubic functional equations
... Hyers-Ulam-Rassias stability of the cubic functional equations ...the stability of func- tional equations ...the stability of func- tional equations ... See full document
19
Stability of quadratic functional equations in tempered distributions
... where k is a fixed positive integer. They proved the Hyers-Ulam-Rassias stability of this equation in Banach spaces. Wang [] considered the intuitionistic fuzzy stability of (.) by using the fixed-point ... See full document
11
Stability of quadratic functional equations in generalized functions
... linear functional on C ∞ c (R) of infinitely differentiable functions on R with compact supports such that for every compact set K ⊂ R, there exist constants C > and N ∈ N ... See full document
15
On Approximate -Ternary -Homomorphisms: A Fixed Point Approach
... In 2000, Lee and Jun 14 have improved the stability problem for approximately additive mappings. The problem when p 1 is not true. Counter examples for the corresponding assertion in the case p 1 were ... See full document
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