Results 21 to 30 of about 52,246 (269)
We generalize quasi-arithmetic means beyond scalars by considering the gradient map of a Legendre type real-valued function. The gradient map of a Legendre type function is proven strictly comonotone with a global inverse. It thus yields a generalization of strictly mononotone and differentiable functions generating scalar quasi-arithmetic means ...
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A necessary and sufficient condition for the inequality of generalized weighted means
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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Archimedean-Compensatory Fuzzy Logic Systems [PDF]
The paper aims to define a new kind of logic, referred to as Archimedean-Compensatory Logic, which is constructed from the unification of two different fuzzy logic systems, namely a continuous Archimedean fuzzy logic and a compensatory fuzzy logic.
Rafael A. Espin-Andrade +3 more
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On Kedlaya-type inequalities for weighted means
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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The effectiveness of teaching image-based arithmetic problems on students' active memory performance and their processing efficiency [PDF]
The aim of the present study was to investigate the effectiveness of teaching image-based arithmetic problems on students' active memory performance and their processing efficiency.
MEHRAN AZIZI MAHMOODABAD +2 more
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Consistency and stability in aggregation operators: An application to missing data problems [PDF]
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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Determination of Bounds for the Jensen Gap and Its Applications
The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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On the Composition of Homogeneous Quasi-Arithmetic Means
It is well known [e.g., \textit{G. H. Hardy, J. E. Littlewood}, and \textit{G. Pólya}, ``Inequalities'' (1934; Zbl 0010.10703, 2nd ed. 1952; Zbl 0047.05302, reprint of the 2nd ed. 1988; Zbl 0634.26008), Theorem 84] that the power means \(M_{p}\) (including the geometric mean for \(p=0\)) are the only positively homogeneous quasiarithmetic means.
Kahlig, Peter, Matkowski, Janusz
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On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality
In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality and it was proved by K. Kedlaya in 1994. In this note, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean ...
Kyumin Nam
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Moral awareness is one of the students’ affective skill that able to become a successful indicator of history learning. It causes history learning has a purpose in building students’ attitude.
Piki Setri Pernantah
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