Results 221 to 230 of about 20,123 (250)

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 ...
Janusz Matkowski, Matkowski Janusz
exaly   +2 more sources

INEQUALITIES FOR WEIGHTED ARITHMETIC AND GEOMETRIC MEANS

Real Analysis Exchange, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Characterization of Weighted Arithmetic Means

SIAM Journal on Algebraic Discrete Methods, 1980
We prove, among other things, that the set of weighted arithmetic means is identical with the set of functions $f:R^n \to R$ satisfying (i) $\min \{ x_j \}\leqq f ( x_1 ,x_2 , \cdots ,x_n )\leqq \max \{ x_j \}$ and (ii) for $k = 2,3:\sum _{i = 1}^k x_{ij} = s( j = 1,2, \cdots ,n ) \Rightarrow \sum _{i = 1}^k f( x_{i1} ,x_{i2} , \cdots ,x_{in} ) = s$.
J. Aczél, C. Wagner
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On the Weighted Arithmetic Mean Fuzzy Filter

2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
Noise reduction is a fundamental step in many image processing and computer vision applications. In recent years, several noise filters especially devoted to the removal of high density salt and pepper noise, as a particular case of impulse noise, have been proposed.
Manuel González Hidalgo, Sebastia Massanet, Arnau Mir 0001, Daniel Ruiz-Aguilera   +3 more
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On linear combinations of weighted quasi-arithmetic means

Aequationes Mathematicae, 2005
Let \(CM(I)\) denote the set of all continuous and strictly monotone real functions on the interval \(I\). A mean \(M\) on \(I\) is called a weighted quasi--arithmetic mean if there exists \(\phi \in CM(I)\) such that \[ M(x,y)=\phi^{-1}(\lambda\phi(x)+(1-\lambda)\phi(y))=:A_{\phi}(x,y;\lambda) \qquad (x,y \in I).
Zoltan Daróczy
exaly   +2 more sources

Concavity of weighted arithmetic means with applications

Archiv der Mathematik, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berenstein, Arkady, Vainshtein, Alek
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The Matkowski–Sutő problem for weighted quasi-arithmetic means

Acta Mathematica Hungarica, 2003
Let \(I\subset\mathbb{R}\) be a non-void open interval and let \(\mathcal{CM}(I)\) denote the class of all continuous and strictly monotone real-valued functions defined on the interval \(I\). A function \(M:I\times I \to I\) is called a weighted quasi-arithmetic mean on \(I\) if there exist a number ...
Daróczy, Z., Páles, Zs.
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The application of weights in the weighted arithmetic mean to obtain the optimal solution of Degenerate Transportation Problem

Mathematica Applicanda, 2022
Summary: The transportation problem is a special class of linear programming techniques that were devolved for linear function and constraints. This paper acquaints the weighted arithmetic mean algorithm for optimality. After studying and analyzing the algorithm, we can perform the special type of case rather than the Non-Degenerate transportation ...
Gothi, Mona, Patel, Reena G.
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A New Note on Absolute Weighted Arithmetic Mean Summability

Lobachevskii Journal of Mathematics, 2018
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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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