Results 101 to 110 of about 722 (111)

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
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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
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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.
Mingxing Luo
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Functional equations related to weightable quasi-metrics

, 2015
Starting from the definition of a weightable quasi-metric we observe that several functional equations are induced in a natural way. Studying these equations we characterize weightable quasi-metrics and show that they define representable total preorders.
M. J. Campión, E. Induráin, G. Ochoa, Ó. Valero   +3 more
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Fuzzy stability of the cubic and quadratic functional equation

, 2016
In this paper, we investigate a fuzzy version of stability for the functional equation f(x+ 2y)− 2f(x+ y) + 2f(x− y)− f(x− 2y)− f(2y) + 4f(−y) = 0 in the sense of Mirmostafaee and Moslehian.
Yang-Hi Lee, Soon-Mo Jung
semanticscholar   +1 more source

Fuzzy stability of additive-quadratic functional equations

, 2017
In this paper, we consider the following functional equation f(x+ 2y) + f(x+ y) + f(y − x) = f(2x+ y)− f(x) + 4f(y) + f(−y) and prove the generalized Hyers-Ulam stability for it in fuzzy normed spaces.
Chang Il Kim
semanticscholar   +1 more source

Superstability of a Pexider-type trigonometric functional equation in normed algebras

, 2015
The aim of this paper is to study the superstability of the following pexiderized cosine functional: f1(x+ y) + f2(x− y) = λg1(x)g2(y), Corresponding author 2840 Iz-iddine EL-Fassi, Samir Kabbaj and Gwang Hui Kim where f1, f2, 2g1, g2 : V → A are unknown
Iz-iddine El-Fassi, S. Kabbaj, G. Kim
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Generalized Hyers-Ulam stability of a 3-dimensional quadratic functional equation in modular spaces

, 2016
In this paper, we prove the stability problem for a 3-dimensional quadratic functional equation 9f ( x+ y + z 3 ) −f(x+y)−f(y+z)−f(x+z)+f(x)+f(y)+f(z) = 0 in modular spaces by applying the direct method.
S. Jin, Yang-Hi Lee
semanticscholar   +1 more source