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Monotonicity rule for the quotient of two functions and its application [PDF]
Journal of Inequalities and Applications, 2017 In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang +3 more
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Expedient and Monotone Learning Rules [PDF]
Econometrica, 2004 This paper considers learning rules for environments in which little prior and feedback information is available to the decision-maker. Two properties of such learning rules, absolute expediency and monotonicity, are studied.
Antonio J. Morales +2 more
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Collective rationality and monotone path division rules [PDF]
Journal of Economic Theory, 2014 We impose the axiom Independence of Irrelevant Alternatives on division rules for the conflicting claims problem. With the addition of Consistency and Resource Monotonicity, this characterizes a family of rules which can be described in three different ...
Stovall, John E.
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Monotonicity of single-seat preferential election rules [PDF]
Discrete Applied Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Douglas R. Woodall
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Fuzzy clan games and bi-monotonic allocation rules [PDF]
Fuzzy Sets and Systems, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S.H. Tijs +4 more
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Monotonicity rules for the ratio of power series [PDF]
In this paper, we present some monotonicity rules for the ratio of two power series $x\mapsto \sum_{k=0}^\infty a_k x^k / \sum_{k=0}^\infty b_k x^k$ under the assumption that the monotonicity of the sequence ${a_k/b_k}$ changes twice. Additionally, we introduce a local monotonicity rule in this paper.
Zhong-Xuan Mao, Jing-Feng Tian
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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AIMS Mathematics, 2021 In this paper, optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type are established using the monotone form of L'Hospital's rule and the criterion for the monotonicity of the quotient of power ...
Ling Zhu, Branko Malešević
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Update monotone preference rules [PDF]
Mathematical Social Sciences, 2013 Collective decisions are modeled by preference correspondences (rules). In particular, we focus on a new condition: "update monotonicity" for preference rules. Although many so-called impossibility theorems for the choice rules are based on - or related to - monotonicity conditions, this appealing condition is satisfied by several non-trivial ...
Can Burak, Storcken Ton
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Averaged null energy and the renormalization group
Journal of High Energy Physics, 2023 We establish a connection between the averaged null energy condition (ANEC) and the monotonicity of the renormalization group, by studying the light-ray operator ∫ duT uu in quantum field theories that flow between two conformal fixed points.
Thomas Hartman, Grégoire Mathys
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