Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Demonstratio Mathematica

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Hyers-Ulam stability of Davison functional equation on restricted domains

Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240039

In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y) on some unbounded restricted domains. Using the obtained results, we study an interesting asymptotic behavior of Davison functions. We also investigate the Hyers-Ulam stability of Davison functional equation and its generalized form given by f(xy)+g(x+y)=h(xy+x)+k(y), for x,y ∈ R⩾0 = {t ∈ R : t ⩾ 0}.

Asymptotic behavior of Fréchet functional equation and some characterizations of inner product spaces

Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Yengejeh Yavar Khedmati, Paokanta Siriluk

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20230265

This article presents the general solution f: G→V of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G, where (G,+) is an abelian group and V is a linear space.We also investigate its Hyers-Ulam stability on some restricted domains. We apply the obtained results to present some asymptotic behaviors of this functional equation in the framework of normed spaces. Finally, we provide some characterizations of inner product spaces associated with the mentioned functional equation.