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Extended means as weighted means

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001
Summary: Extended means can be viewed as special cases of the well-known weighted means. With this point of view, many properties of the extended means, like monotonicity and convexity, can be derived very easily from the corresponding established results of the weighted means.
Li, Xin, Mohapatra, R. N.
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A note on weighted possibilistic mean

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dug Hun Hong, Kyung Tae Kim
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Weighted Harmonic Means

Complex Analysis and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Learning weights for the quasi-weighted means

IEEE Transactions on Fuzzy Systems, 2002
We study the determination of weights for quasi-weighted means (also called quasi-linear means) when a set of examples is given. We consider first a simple case, the learning of weights for weighted means, and then we extend the approach to the more general case of a quasi-weighted mean. We consider the case of a known arbitrary generator f.
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On the Weighted Mean of a Pair of Strings

Pattern Analysis & Applications, 2002
String matching and string edit distance are fundamental concepts in structural pattern recognition. In this paper, the weighted mean of a pair of strings is introduced. Given two strings, x and y, where d(x, y) is the edit distance of x and y, the weighted mean of x and y is a string z that has edit distances d(x, z) and d(z, y)to x and y ...
Horst Bunke   +3 more
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Weighted Means and Characterization of Balls

Journal of Mathematical Sciences, 2023
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Spherical Means and Weighted Inequalities

Journal of the London Mathematical Society, 1996
This paper studies weighted inequalities, that is, norm inequalities in the \(L^p\)-space defined by the measure \(w(x)dx\), for maximal operators defined through spherical means. The unweighted inequalities are due to \textit{E. M. Stein} [Proc. Nat. Acad. Sci. USA 73, 2174-2175 (1976; Zbl 0332.42018)] for \(n\geq 3\) and \textit{J. Bourgain} [J. Anal.
Duoandikoetxea, Javier, Vega, Luis
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The Spectrum of Weighted Mean Operators

Canadian Mathematical Bulletin, 1987
AbstractRecently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on c0, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences.
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Weighted Iterative Truncated Mean Filter

IEEE Transactions on Signal Processing, 2013
The iterative truncated arithmetic mean (ITM) filter was proposed recently. It offers a way to estimate the sample median by simple arithmetic computing instead of the time consuming data sorting. In this paper, a rich class of filters named weighted ITM (WITM) filters are proposed.
Zhenwei Miao, Xudong Jiang 0001
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WEIGHTED MEANS BASED ON TRIANGULAR CONORMS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001
Generalizing the construction of weighted quasi–arithmetic means from generated t–conorms, we propose a new class of weighted means related to continuous t–conorms. By duality, t–norm based weighted means can be obtained, too. Our method fits also in the case of finite ordinal scales. Several examples are given.
Tomasa Calvo, Radko Mesiar
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