Results 81 to 90 of about 767 (107)

On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
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Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

Demonstratio Mathematica, 2019
Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally ...
Aiemsomboon Laddawan, Sintunavarat Wutiphol   +1 more
doaj   +1 more source

On Almost Everywhere K-Additive Set-Valued Maps

Annales Mathematicae Silesianae
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
doaj   +1 more source

Speed of Light or Composition of Velocities

Annales Mathematicae Silesianae
We analyze in our paper questions of the theory of relativity. We approach this theory from the point of view of velocities and their composition. This is where the functional equations appear.
Sablik Maciej
doaj   +1 more source

On Functions with Monotonic Differences

Annales Mathematicae Silesianae
Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions.
Rajba Teresa
doaj   +1 more source

Approximation of the multiplicatives on random multi-normed space. [PDF]

J Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source

Approximation of the generalized Cauchy-Jensen functional equation in C ∗ -algebras. [PDF]

J Inequal Appl, 2018
Kaskasem P, Klin-Eam C.
europepmc   +1 more source

Refined stability of additive and quadratic functional equations in modular spaces. [PDF]

J Inequal Appl, 2017
Kim HM, Shin HY.
europepmc   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation

Journal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek   +2 more
doaj