Results 211 to 220 of about 6,655 (246)

From kelp forests to turf reefs: Patterns, drivers, and impacts to functional diversity. [PDF]

open access: yesEcology
Farrell SP   +7 more
europepmc   +1 more source

Hemispheric laterality of the putamen predicts pseudoneglect

open access: yes
Ghafari T   +5 more
europepmc   +1 more source

On Jensen’s functional equation on groups

Aequationes Mathematicae, 2003
The classical Jensen's functional equation is known as [see \textit{J. Aczél}, Lectures on functional equatons and their applications (Academic Press, London) (1966; Zbl 0139.09301)] \[ f\Biggl({x+y\over 2}\Biggr)= {f(x)+ f(y)\over 2} \] which with \(x= u+v\), \(y= u-v\) becomes \(f(u+ v)+ f(u- v)= 2f(u)\), transparent for generalization for a group ...
Henrik Stetkær, Stetkær Henrik
exaly   +3 more sources

A Pexider–Jensen functional equation on groups

Aequationes Mathematicae, 2005
Let \((G,\cdot)\) be a group, \((H,+)\) an abelian group, and \(f,g,h:G\to H.\) The Pexider-Jensen functional equation \[ f(x.y)+g(x.y^{-1})=h(x) \] is studied. The author obtains the solution of this equation on free groups and outlines a process to find the solution on other groups. Some results on Jensen's equation are extended. The results obtained
Che Ng, Ng Che Tat
exaly   +3 more sources

On the stability of a generalization of Jensen functional equation

Acta Mathematica Hungarica, 2017
The author uses the fixed point method to prove the stability and the hyperstability of a generalization of Jensen functional equation \[ \sum_{k=0}^{n-1}f(x+b_ky)=nf(x) \] in the setting of Banach spaces. Here \(n \geq 2\), \(b_k=\exp(2i\pi k/n)\) for \(0\leq k \leq n-1\).
Muaadh Almahalebi
exaly   +2 more sources

Jensen’s functional equation on semigroups

Acta Mathematica Hungarica, 2023
The author considers the functional equation \[f(x\varphi(y))+f(\psi(y)x)=2f(x), \quad x,y\in S,\tag{1}\] with \(s\colon S\to H\), \(S\) a semigroup, \(H\) a 2-torsion free abelian group and \(\varphi,\psi\colon S\to S\) endomorphisms.\par It is shown that under the assumption that \(\varphi\) or \(\psi\) is surjective the solutions of (1) are of the ...
openaire   +1 more source

Fuzzy stability of the Jensen functional equation

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Kamel Mirmostafaee   +2 more
openaire   +1 more source

Jensen's functional equation on groups, III

Aequationes Mathematicae, 1999
[For part I see ibid. 39, No.1, 85-99 (1990; Zbl 0688.39007); see also \textit{J. C. Parnami} and \textit{H. L. Vasudeva}, ibid. 43, No. 2/3, 211-218 (1992; Zbl 0755.39008).] Let \((G,\cdot)\) be a group and \((H,+)\) an abelian group, and \(f:G\to H\) a mapping. Let \(e\) denote the identity of \(G\) and \(0\) that of \(H\).
openaire   +3 more sources

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