Results 41 to 50 of about 166 (76)

ON THE STABILITY OF TRIBONACCI AND $k$-TRIBONACCI FUNCTIONAL EQUATIONS IN MODULAR SPACE

, 2015
The purpose of this paper is to establish the Hyers-Ulam stability of the following Tribonacci and k-Tribonacci functional equations f(x) = f(x− 1) + f(x− 2) + f(x− 3), f(k, x) = kf(k, x− 1) + f(k, x− 2) + f(k, x− 3) in modular space.
R. Lather, Ashish, Manoj Kumar
semanticscholar   +1 more source

An AQCQ-functional equation in paranormed spaces

, 2012
In this article, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed spaces.Mathematics Subject Classification (2010): Primary 39B82; 39B52; 39B72; 46A99.
Choonkill Park, Jung Rye Lee
semanticscholar   +1 more source

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  

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

ON THE ANALYTICAL SOLUTION OF A TWO-PLACE FUNCTIONAL EQUATION

, 2018
The main objective of this paper is to investigate the analytical solution of a special case of the general class of challenged functional equations given by A1(x, y)f(x, y) = A2(x, y)f(x, 0) + A3(x, y)f(0, y) + A4(x, y)f(0, 0) + A5(x, y), where Ai(x, y),
El-sayed El-hady
semanticscholar   +1 more source

On the stability of pexider functional equation in non-archimedean spaces

Journal of Inequalities and Applications, 2011
In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed, Saadati Reza, Sadeghi Zahra   +2 more
doaj  

Sidelnikov inequality and Legendre polynomials

, 2015
Extremal arrangements (in various meanings of “extremal”) of points on a sphere have long been a subject of much interest (see [3] for a survey of early works).
N. O. Kotelina, A. B. Pevnyi
semanticscholar   +1 more source

Additive functions and their actions on certain elementary functions

, 2015
The main aim of this note is to provide sufficient conditions for an additive function to be a real derivation. Among others the following implication will be verified: Assume that ξ : R → R is a given differentiable function and for the additive ...
E. Gselmann
semanticscholar   +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

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