Results 1 to 10 of about 30,930 (154)
On Kedlaya-type inequalities for weighted means [PDF]
Journal of Inequalities and Applications, 2018 In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M $\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn)) $$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots ...
Zsolt Páles, Paweł Pasteczka
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On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
Entropy, 2019 The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution.
Frank Nielsen
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Weighted quasi‐arithmetic mean based score level fusion for multi‐biometric systems [PDF]
IET Biometrics, 2020 Biometrics is now being principally employed in many daily applications ranging from the border crossing to mobile user authentication. In the high‐security scenarios, biometrics require stringent accuracy and performance criteria. Towards this aim, multi‐biometric systems that fuse the evidences from multiple sources of biometric ...
Herbadji Abderrahmane +4 more
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Embeddability of pairs of weighted quasi-arithmetic means into a semiflow [PDF]
Aequationes mathematicae, 2019 AbstractWe determine the form of all semiflows of pairs of weighted quasi-arithmetic means, those over positive dyadic numbers as well as the continuous ones. Then the iterability of such pairs is characterized: necessary and sufficient conditions for a given pair of weighted quasi-arithmetic means to be embeddable into a continuous semiflow are given.
Dorota Głazowska +2 more
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Fractional Integral Inequalities for Some Convex Functions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
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Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
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IEEE Access, 2021 Frequency histograms are ubiquitous, being practically used in any field of science. In this paper, we present a partial order for frequency histograms and, to our knowledge, no order of this kind has been yet defined.
Mateu Sbert +5 more
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On weighted quasi-arithmetic means which are convex [PDF]
Mathematical Inequalities & Applications, 2019 Summary: We study convexity in the class of weighted quasi-arithmetic means. It turns out that their convexity depends only on the generator, neither on weights, nor on the number of variables. Connections between the convexity of a mean and the convexity of its increasing generators are considered.
Chudziak, Jacek +3 more
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Consistency and stability in aggregation operators: An application to missing data problems [PDF]
International Journal of Computational Intelligence Systems, 2014 In this work we analyze the key issue of the relationship that should hold between the operators in a family {} of aggregation operators in order to understand they properly define a whole.
D. Gómez +4 more
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A necessary and sufficient condition for the inequality of generalized weighted means
Journal of Inequalities and Applications, 2016 We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
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