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Averaged null energy and the renormalization group

open access: yesJournal 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   +2 more sources

Committee Monotonic Proportional Representation: A New Voting Rule and Impossibility Results [PDF]

open access: green
We study committee voting rules under ranked preferences, which map the voters' preference relations to a subset of the alternatives of predefined size. In this setting, the compatibility between proportional representation and committee monotonicity is ...
Haris Aziz   +2 more
openalex   +3 more sources

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

open access: yesDemonstratio 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

Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type

open access: yesAIMS 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
doaj   +1 more source

Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function

open access: yesJournal 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 access: yesOpen 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

open access: yesMathematics, 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 access: yesOpen 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
doaj   +1 more source

Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

open access: yesJournal of Inequalities and Applications, 2023
This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

Some Inequalities for Generalized Hyperbolic Functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
doaj   +1 more source

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