Results 1 to 10 of about 121 (115)

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +2 more sources

Monotonicity of single-seat preferential election rules

Discrete Applied Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Douglas R Woodall
exaly   +3 more sources

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
doaj   +1 more source

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
openaire   +4 more sources

Maskin-monotonic scoring rules [PDF]

Social Choice and Welfare, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Battal Dogan, Semih Koray
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +2 more sources

A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

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
doaj   +1 more source

A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

Mathematics, 2023
In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
doaj   +1 more source

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, Chen Lu, Huang Ti-Ren, Chu Yuming   +3 more
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