Results 31 to 40 of about 81 (75)

Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Hyers-Ulam stability of quadratic forms in 2-normed spaces

Demonstratio Mathematica, 2019
In this paper, we obtain Hyers-Ulam stability of the functional ...
Park Won-Gil, Bae Jae-Hyeong
doaj   +1 more source

Extension of Karamata inequality for generalized inverse trigonometric functions [PDF]

, 2015
Discussing Ramanujan\u27s Question 294, Karamata established the inequality … which is the cornerstone of this paper. We generalize the above inequality transforming into terms of arctan and artanh. Moreover, we expand the established result to the class
POGÁNY, Tibor K., BARICZ, Árpád
core  

An Alternative Equation for Generalized Polynomials of Degree Two

Annales Mathematicae Silesianae
In this paper we consider a generalized polynomial f: ℝ → ℝ of degree two that satisfies the additional equation f(x)f(y) = 0 for the pairs (x, y) ∈ D, where D ⊆ ℝ2 is given by some algebraic condition.
Boros Zoltán, Menzer Rayene
doaj   +1 more source

Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces

Demonstratio Mathematica
This paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam, Onitsuka Masakazu, Lakshmi Velu   +2 more
doaj   +1 more source

Poisson C*-algebra derivations in Poisson C*-algebras

Demonstratio Mathematica
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
doaj   +1 more source

The stability of high ring homomorphisms and derivations on fuzzy Banach algebras

Open Mathematics
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Chen Lin, Luo Xiaolin
doaj   +1 more source

and Ashish, On the stability of generalized Cauchy linear functional equations, Int

, 2020
We investigate the following generalized Cauchy linear functional equation where a is an arbitrary number and prove the Hyers-Ulam-Rassias stability of the functional equations on Banach spaces.
Renu Chugh, Ashish
core  

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

Approximate multi-Cauchy mappings on certain groupoids

Open Mathematics
In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
doaj   +1 more source