Results 241 to 250 of about 16,630 (273)

Energy Output Variability Among Phacoemulsification Tips Using Calorimetry. [PDF]

open access: yesMed Devices (Auckl)
Cardenas IA   +6 more
europepmc   +1 more source

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
Ng Che Tat, Che Tat Ng
exaly   +3 more sources

Hyperstability of the Jensen functional equation

Acta Mathematica Hungarica, 2013
\textit{S.-M. Jung}, \textit{M. S. Moslehian} and \textit{P. K. Sahoo} [J. Math. Inequal. 4, No. 2, 191--206 (2010; Zbl 1219.39016)] investigated the conditional stability of the generalized Jensen functional equation \(f(ax+by)=af(x)+bf(y)\). Based on a fixed point method, the authors of the present paper consider the hyperstability problem of the ...
Magdalena Piszczek   +2 more
exaly   +2 more sources

Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2000
In this paper we solve the Jensen type functional equation (1.1).
Tiberiu Trif
exaly   +2 more sources

Stability of Cauchy–Jensen type functional equation in generalized fuzzy normed spaces [PDF]

open access: yesComputers and Mathematics With Applications, 2011
In this paper, we establish some stability results concerning the Cauchy–Jensen functional equation in generalized fuzzy normed spaces.
Hamid Khodaei, M Eshaghi Gordji
exaly   +2 more sources

Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique [PDF]

open access: yesMathematical and Computer Modelling, 2011
The object of this paper is to determine Hyers-Ulam-Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by using the fixed point method. Further, we establish stability of the Cauchy functional equation
Murat Cancan, S A Mohiuddine
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

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 ...
openaire   +2 more sources

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