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A New Note on Absolute Weighted Arithmetic Mean Summability
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Hüseyi̇n Bor
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Some results of weighted quasi-arithmetic mean of continuous triangular norms
Yao Ouyang, Jin-xuan Fang
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INEQUALITIES FOR WEIGHTED ARITHMETIC AND GEOMETRIC MEANS
Real Analysis Exchange, 2021zbMATH 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, 1980We 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 $k = 2,3:\sum _{i = 1}^k x_{ij} = s( j = 1,2, \cdots ,n ) \Rightarrow \sum _{i = 1}^k f( x_{i1} ,x_{i2} , \cdots ,x_{in} ) = s$.
Aczél, János, Wagner, C.
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On the Weighted Arithmetic Mean Fuzzy Filter
2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015Noise 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 Gonzalez-Hidalgo +3 more
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Concavity of weighted arithmetic means with applications
Archiv der Mathematik, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berenstein, Arkady, Vainshtein, Alek
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Weighted arithmetic means possessing the interpolation property
Calcolo, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ALLASIA, Giampietro +2 more
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The Matkowski–Sutő problem for weighted quasi-arithmetic means
Acta Mathematica Hungarica, 2003Let \(I\subset\mathbb{R}\) 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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Generalized Weighted Arithmetic Means
2011Means which are the sum of single variable functions are considered. It is shown among other that if such a mean is weighted quasi-arithmetic, or subtranslative or subadditive then it must be a weighted quasi-arithmetic mean. Conditions under which the functions of the form f(x) = ax + b are affine or convex with respect to such a mean are presented ...
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Weighted Quasi-Arithmetic Means: Utility Functions and Weighting Functions
2013This paper discusses weighted quasi-arithmetic means from viewpoint of a combined index of utility functions and weighting functions, which represent stochastic risk in economics. The combined index characterizes decision maker's attitude and background risks in stochastic environments by conditional expectation representations of weighted quasi ...
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