On the Stability of a New Pexider-Type Functional Equation [PDF]
We establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation , which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability results.
Lee Juri, Lee Yang-Hi, Jun Kil-Woung
doaj +6 more sources
General Solutions of Two Quadratic Functional Equations of Pexider Type on Orthogonal Vectors [PDF]
Based on the studies on the Hyers-Ulam stability and the orthogonal stability of some Pexider-quadratic functional equations, in this paper we find the general solutions of two quadratic functional equations of Pexider type. Both equations are studied in
Margherita Fochi
doaj +3 more sources
On the Superstability of the Pexider Type Trigonometric Functional Equation [PDF]
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: and , which can be considered the mixed functional equations of the sine function and cosine function, the hyperbolic ...
Kim GwangHui
doaj +8 more sources
Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation
We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of ...
A.B. Chahbi +3 more
doaj +2 more sources
Stability of Pexider Equations on Semigroup with No Neutral Element [PDF]
Let S be a commutative semigroup with no neutral element, Y a Banach space, and ℂ the set of complex numbers. In this paper we prove the Hyers‐Ulam stability for Pexider equation ∥f(x + y) − g(x) − h(y)∥ ≤ ϵ for all x, y ∈ S, where f, g, h : S → Y. Using Jung’s theorem we obtain a better bound than that usually obtained.
Jaeyoung Chung, Krzysztof Ciepliński
wiley +2 more sources
The Stability of Multi‐Coefficients Pexider Additive Functional Inequalities in Banach Spaces
The Hyers–Ulam stability of multi‐coefficients Pexider additive functional inequalities in Banach spaces is investigated. In order to do this, the fixed point method and the direct method are used.
Yang Liu +4 more
wiley +2 more sources
The Binet-Pexider functional equation for rectangular matrices
Let \(A=[a_ 1,...,a_ m]\) be an \(n\times m\) matrix with columns \(a_ j\), \(j=1,...,m\), and let \(B=\) be an \(m\times n\) matrix with rows \(b_{(i)}\), \(i=1,...,m\), where \(n\leq m\), let \(s=(s_ 1,...,s_ m)\) be the m-tuple of non-negative integers with \(| s| =n\).
Heuvers, K.J., Moak, D.S.
openaire +3 more sources
A pexider difference for a pexider functional equation [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Najati, Abbas +3 more
openaire +1 more source
On the E‐Hyperstability of the Inhomogeneous σ‐Jensen’s Functional Equation on Semigroups
In this paper, we study the hyperstability problem for the well‐known σ‐Jensen’s functional equation f(xy) + f(xσ(y)) = 2f(x) for all x, y ∈ S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form of σ‐Jensen’s functional equation f(xy) + f(xσ(y)) = 2f(x) + φ(x, y) for all x, y ...
M. Sirouni, S. Kabbaj, Victor Kovtunenko
wiley +1 more source
Controlling for presentation effects in choice
Experimenters make theoretically irrelevant decisions concerning user interfaces and ordering or labeling of options. Reanalyzing dictator games, I first show that such decisions may drastically affect comparative statics and cause results to appear contradictory across experiments.
Yves Breitmoser
wiley +1 more source

