Wyniki wyszukiwania - Biblioteka Nauki

Ten serwis zostanie wyłączony 2025-02-11.

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: additive functional equation

Sortuj według:

Ogranicz wyniki do:

Stability of n-dimensional additive functional equation in generalized 2-normed space

100%

Arunkumar M.

2016

tom Vol. 49, nr 3

319--330

In this paper, the author established the general solution and generalized Ulam–Hyers–Rassias stability ofn-dimensional additive functional equation (…) in generalized 2-normed space.

Mixed Type Of Additive And Quintic Functional Equations

100%

Bodaghi A. , Narasimman P. , Ravi K. , Shojaee B.

Annales Mathematicae Silesianae

2015

tom 29

nr 1

35-50

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form [...] f(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) $$f\left( {3x + y} \right) - 5f\left( {2x + y} \right) + f\left( {2x - y} \right) + 10f\left( {x + y} \right) - 5f\left( {x - y} \right) = 10f\left( y \right) + 4f\left( {2x} \right) - 8f\left( x \right)$$ in the set of real numbers.

Approximate homomorphisms and derivation in multi-Banach algebras

75%

Agarwal R. P. , Cho Y. J. , Park C. , Saadati R.

Commentationes Mathematicae

2011

tom Vol. 51, [Z] 1

23-38

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation... [formula]

On new stability results for composite functional equations in quasi-β-normed spaces

63%

Thanyacharoen A. , Sintunavarat W.

tom Vol. 54, nr 1

68--84

In this article, we prove the generalized Hyers-Ulam-Rassias stability for the following composite functional equation: f(f(x) – f(y)) = f(x + y) + f(x – y) – f(x) – f(y), where f maps from a(β, p)-Banach space into itself, by using the fixed point method and the direct method. Also, the generalized Hyers-Ulam-Rassias stability for the composite s-functional inequality is discussed via our results.