Results 31 to 40 of about 137 (107)

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj  

On the Stability of Trigonometric Functional Equations

Advances in Difference Equations, 2008
The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: f(x+y)−f(x−y)=2f(x)g(y),f(x+y)−f(x−y)=2g(x)f(y).
Gwang Hui Kim
doaj   +1 more source

Stability and Superstability of a Linear Functional Equation on Restricted Domains

Journal of Function Spaces
This paper investigates the Hyers–Ulam stability and superstability of the functional equation fx2+yfz=xfx+zfy for real-valued functions f:R⟶R on some restricted subsets of R.
Abbas Najati, Mohammad Amin Tareeghee, Themistocles M. Rassias   +2 more
doaj   +1 more source

Approximately Ternary Homomorphisms and Derivations on C∗-Ternary Algebras

Abstract and Applied Analysis, 2012
We investigate the stability and superstability of ternary homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras, associated with the following functional equation f((x2-x1)/3)+f((x1-3x3)/3)+f((3x1+3x3-x2)/3)=f(x1).
M. Eshaghi Gordji, A. Ebadian, N. Ghobadipour, J. M. Rassias, M. B. Savadkouhi   +4 more
doaj   +1 more source

On Stability of a Functional Equation Connected with the Reynolds Operator

Journal of Inequalities and Applications, 2007
Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℝ or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K.
Adam Najdecki
doaj   +1 more source

Toward Enhanced Aerosol Particle Adsorption in Never-Bursting Bubble via Acoustic Levitation and Controlled Liquid Compensation. [PDF]

Adv Sci (Weinh), 2023
Ji X, Jiang P, Jiang Y, Chen H, Wang W, Zhong W, Zhang X, Zhao W, Zang D.   +8 more
europepmc   +1 more source

On the Superstability of the Pexider Type Trigonometric Functional Equation

Journal of Inequalities and Applications, 2010
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
doaj   +1 more source

An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras

Miskolc Mathematical Notes
In this paper, we introduce the notion of the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras. Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of generalized ternary ring ...
Ismail Nikoufar
doaj   +1 more source

Survey on Recent Ulam Stability Results Concerning Derivations

Journal of Function Spaces, 2016
This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk, Liviu Cădariu, Krzysztof Ciepliński, Ajda Fošner, Zbigniew Leśniak   +4 more
doaj   +1 more source

Hierarchical Tantalum Oxide Composite for Efficient Solar-Driven Water Purification. [PDF]

ACS Omega, 2023
Chen X, Zhu Y, Liu S, Liu J, Li J.
europepmc   +1 more source