Results 11 to 20 of about 4,528,914 (107)

On the Stability of a New Pexider-Type Functional Equation [PDF]

open access: yesJournal of Inequalities and Applications, 2008
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]

open access: yesAbstract and Applied Analysis, 2012
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]

open access: yesJournal of Inequalities and Applications, 2010
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

open access: yesArab Journal of Mathematical Sciences, 2015
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]

open access: yesJournal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
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

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
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

open access: yesAequationes Mathematicae, 1990
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]

open access: yesAdvances in Difference Equations, 2012
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

open access: yesAbstract and Applied Analysis, Volume 2023, Issue 1, 2023., 2023
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

open access: yesQuantitative Economics, Volume 12, Issue 1, Page 251-281, January 2021., 2021
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

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