[PDF] Top 20 New Type of Quadratic Functional Equation and Its Stability

... the quadratic functional ...the quadratic functional equation is said to be quadratic ...of stability theory of functional equations for the proof of new ... See full document

... Hyers-Ulam-Rassias stability of the func- tional equation. The Hyers-Ulam stability on unbounded domains is also ...generalized quadratic functional equation are ... See full document

... Sikorska, Stability of the orthogonal additivity, ...the stability of the linear functional equation, ...Kannappan, Quadratic functional equation inner product spaces, ... See full document

... following quadratic functional equation: f xy z fx fy fz fx y fy z fz x in the spaces of generalized ...heat equation, we obtain the general solution and prove the Hyers-Ulam stability ... See full document

... In this paper the stability of quadratic functional equation, f(xy)+f(xy -1 )=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional [r] ... See full document

... The functional equation fx y f x − y 2fx 2f y is called a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam ... See full document

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of ... See full document

... In 1940, Ulam [1] proposed the general Ulam stability problem. In 1941, this problem was solved by Hyers [2] for the case of Banach spaces. Thereafter, this type of stability is called the Ulam-Hyers ... See full document

... a quadratic functional equation. Quadratic functional equations were used to characterize inner product spaces ...the quadratic equation ...is quadratic if and only ... See full document

... The stability problem of functional equations originated from the following question of Ulam [13]: Under what condition does there exist an additive mapping near an approxi- mately additive mapping? In ... See full document

... Hyers-Ulam-Rassias stability see also 4, ...Hyers-Ulam-Rassias stability of the Pexider equation of fx y gx hy. Quadratic functional equation was used to characterize inner ... See full document

... a quadratic functional equation because the quadratic function f (x) = ax 2 is a solu- tion of the functional equation ...A quadratic functional equation was ... See full document

... Hyers-Ulam stability of functional equations ...Cauchy equation was proved by Brzdek [4]. The functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y) is called the quadratic ... See full document

... Hyers-Ulam stability of the quadratic functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are many ... See full document

... a quadratic functional ...the quadratic equation ...is quadratic if and only if there exists a unique symmetric bi-additive function B 1 such that f (x) = B 1 (x, x) for all ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... The Hyers–Ulam stability of the quadratic equation (1.1) was proved by Skof [22]. Cholewa [6] noticed that the theorem of Skof is still true if the relevant domain 𝒳 is replaced by an abelian group. ... See full document

... functional equation 1.5, which is called a quartic functional equation see also ...Hyers-Ulam stability for a mixed type of quartic and quadratic functional ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document