Results 81 to 90 of about 372 (112)

Some remarks on the stability of the multi-Jensen equation

Open Mathematics, 2013
Schwaiger Jens
doaj   +1 more source

On the Hyers-Ulam-Rassias stability of a general cubic functional equation

, 2003
K. Jun, Hark-Mahn Kim
semanticscholar   +1 more source

On the Stability of Functional Equations with Square-Symmetric Operation

, 2001
G. Kim
semanticscholar   +1 more source

Commutativity of set-valued cosine families

Open Mathematics, 2014
Smajdor Andrzej, Smajdor Wilhelmina
doaj   +1 more source

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Stability of the general quintic functional equation

International Journal of Mathematical Analysis, 2021
The general quintic functional equation is a generalization of many functional equations such as the additive, the general quadratic, the general cubic, and the general quartic functional equation.
S. Jin, Yang-Hi Lee
semanticscholar   +1 more source

GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN BANACH SPACES AND BANACH SPACES

International Journal of Mathematics Trends and Technology, 2021
In this paper we use the direct method to proved two the generalized additive functional inequalities with 2k-variables and their Hyers-Ulam-Rassias stability.
L. An
semanticscholar   +1 more source

An Instructive Treatment of a Generalization of Găvruţă’s Stability Theorem

Sarajevo Journal of Mathematics
We prove several useful theorems on Hyers sequences and their pointwise limits in quite natural ways which make a straightforward generalization of Găvruţă''s stability theorem rather plausible.   2000 Mathematics Subject Classification.
Ester Gselmann, Á. Száz
semanticscholar   +1 more source

A Class of Functional Equations (Almost) Characterizing Polynomials on Integral Domains

Sarajevo Journal of Mathematics
Let $R$ be an infinite integral domain not of characteristic 2. For a given $ n\geq 2$, suppose functions $f:R\rightarrow R$ and $h:R \rightarrow R$ satisfy\begin{equation*}[x_1,x_2,\ldots,x_n;f]=h(x_1+\cdots+x_n)\prod_{j>i}(x_j-x_i),\end{equation*}where
B. Ebanks, P. de Place Friis
semanticscholar   +1 more source

On Hyers-Ulam stability of Wilson's functional equation on $P_3$-groups

Sarajevo Journal of Mathematics
The purposes of paper is to obtain the Hyers-Ulam stability of Wilson’s equation...   2000 Mathematics Subject Classification.
Min-Jie Luo
semanticscholar   +1 more source

On stability and nonstability of systems of functional equations

Quaestiones Mathematicae, 2021
Madjid Eshaghi, Hamid Khodaei
exaly