Generalized Hyers-Ulam-Rassias stability of functional inequalities and functional equations
نویسندگان
چکیده
منابع مشابه
Generalized Hyers - Ulam - Rassias Stability of a Quadratic Functional Equation
In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of a new quadratic functional equation f (2x y) 4f (x) f (y) f (x y) f (x y) + = + + + − −
متن کاملHyers–ulam–rassias Stability of a Generalized Pexider Functional Equation
In this paper, we obtain the Hyers–Ulam–Rassias stability of the generalized Pexider functional equation ∑ k∈K f(x+ k · y) = |K|g(x) + |K|h(y), x, y ∈ G, where G is an abelian group, K is a finite abelian subgroup of the group of automorphism of G. The concept of Hyers–Ulam–Rassias stability originated from Th.M. Rassias’ Stability Theorem that appeared in his paper: On the stability of the lin...
متن کاملThe Generalized Hyers –ulam –rassias Stability of Quadratic Functional Equations with Two Variables
In this paper,we consider functional equations involving a two variables examine some of these equations in greater detail and we study applications of cauchy’s equation.using the generalized hyers-ulam-rassias stability of quaradic functional equations finding the solution of two variables(quaradic functional equations) 1.INTRODUCTION We achieve the general solution and the generalized Hyers-U...
متن کاملHyers-Ulam-Rassias stability of generalized derivations
One of the interesting questions in the theory of functional equations concerning the problem of the stability of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to an exact solution of the given functional equation? The first stability problem was raised by Ulam during his talk at the University of Wisconsin in 194...
متن کاملOn the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations
and Applied Analysis 3 2. Solution of 1.5 , 1.6 Let X and Y be real vector spaces. We here present the general solution of 1.5 , 1.6 . Theorem 2.1. A function f : X → Y satisfies the functional equation 1.3 if and only if f : X → Y satisfies the functional equation 1.5 . Therefore, every solution of functional equation 1.5 is also a quadratic function. Proof. Let f satisfy the functional equati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2009
ISSN: 1846-579X
DOI: 10.7153/jmi-03-06