Results 191 to 199 of about 4,336,501 (199)

Generalized weighted quasi-arithmetic means

Aequationes mathematicae, 2010
Let \(I\subseteq \mathbb R\) be an interval. A function \(M:\;I^2\to \mathbb R\) is called a mean on \(I^2\), if \[ \min (x,y)\leq M(x,y)\leq \max (x,y),\quad x,y\in I. \] The author considers means of the form \[ M_{f,g}(x,y)=(f+g)^{-1}(f(x)+g(y)) \] where \(f\) and \(g\) are real functions on \(I\), and studies conditions on \(f,g\), under which ...
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Invariant and complementary quasi-arithmetic means

Aequationes Mathematicae, 1999
If \(I\) is a proper (non-singleton) real interval and \(M\) and \(N\) are continuous, both map \(I^{2}\) into \(I\), and both \(M(x,y)\) and \(N(x,y)\) lie between \(\min(x,y)\) and \(\max(x,y),\) one of them always strictly between if \(x\neq y\) (that is, both are means and one of them is a strict mean), then it is easy to see that there exists a ...
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Weighted Quasi-arithmetic Means and Conditional Expectations

2010
In this paper, the weighted quasi-arithmetic means are discussed from the viewpoint of utility functions and background risks in economics, and they are represented by weighting functions and conditional expectations. Using these representations, an index for background risks in stochastic environments is derived through the weighted quasi-arithmetic ...
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Invariance equation for generalized quasi-arithmetic means

Aequationes mathematicae, 2009
In this paper, the invariance equation $$(\varphi_{1} + \varphi_{2})^{-1} (\varphi_{1}(x) + \varphi_{2}(y)) + (\psi_{1} + \psi_{2})^{-1}(\psi_{1}(x) + \psi_{2}(y)) = x + y$$ is solved under four times continuous differentiability of the unknown functions φ1, φ2, ψ1, ψ2.
Szabolcs Baják, Zsolt Páles
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Parameterized defuzzification with continuous weighted quasi-arithmetic means – An extension☆

Information Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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WEIGHTED QUASI-ARITHMETIC MEANS AND A RISK INDEX FOR STOCHASTIC ENVIRONMENTS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011
In this paper, the weighted quasi-arithmetic means are discussed from the viewpoint of utility functions and downward risks in economics. Representing the weighting functions by probability density functions and the conditional expectations, an index for downward risks in stochastic environments is derived.
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Geometry of Jensen's inequality and quasi-arithmetic means

International journal of research and reviews in applied sciences, 2012
This communication refers to Jensen's inequality and inequalities for quasi-arithmetic means. In particular, we consider the right-hand side of Jensen's inequality and inequalities for quasi-arithmetic means.
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Invariance of Bajraktarevic mean with respect to quasi arithmetic means

Publicationes Mathematicae Debrecen, 2012
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Problems and results on generalized quasi-arithmetic means

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2019
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