Results 21 to 30 of about 2,021,229 (325)
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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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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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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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 are studied: absolute expediency and monotonicity. Both require that some aspect of the decision maker's performance improves from the current period to the next.
Tilman Börgers +2 more
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Maskin-monotonic scoring rules [PDF]
Social Choice and Welfare, 2014 We characterize which scoring rules are Maskin-monotonic for each social choice problem as a function of the number of agents and the number of alternatives. We show that a scoring rule is Maskin-monotonic if and only if it satisfies a certain unanimity condition.
Dogan, Battal, Koray, Semih
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Drop out monotonic rules for sequencing situations [PDF]
Mathematical Methods of Operations Research, 2005 This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be very strong: we show that there is at most one rule ...
Fernández, C. +3 more
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Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function
Journal of Inequalities and Applications, 2009 We give some generalizations of Shafer-Fink inequalities, and prove these inequalities by using a basic differential method and l'Hospital's rule for monotonicity.
Pan Wenhai, Zhu Ling
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Open Mathematics, 2023 In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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New properties for the Ramanujan R-function
Open Mathematics, 2022 In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu +3 more
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The Polyhedral Geometry of Pivot Rules and Monotone Paths
SIAM Journal on Applied Algebra and Geometry, 2023 Motivated by the analysis of the performance of the simplex method we study the behavior of families of pivot rules of linear programs. We introduce normalized-weight pivot rules which are fundamental for the following reasons: First, they are memory-less, in the sense that the pivots are governed by local information encoded by an arborescence. Second,
Alexander E. Black +3 more
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