Results 1 to 10 of about 10,217,236 (195)
Completely monotonic degree of a function involving trigamma and tetragamma functions [PDF]
AIMS Mathematics, 2020 Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic
Feng Qi
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The derivative of a monotonic discontinuous function [PDF]
Proceedings of the American Mathematical Society, 1965 where fn(x) takes the values 0, 1/2, and 1 on the sets x xn, respectively. We modify his construction by replacing the coefficients 2-n with appropriate values cn. By hypothesis, { xn} = nE (Ej open, EjDEj+,). For each j, let E(U, k) } denote the family of components of Ej.
George Piranian
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Monotonic Averages of Convex Functions
Journal of Mathematical Analysis and Applications, 2000 AbstractWe investigate the monotonicity of various averages of the values of a convex (or concave) function at n equally spaced points. For a convex function, averages without end points increase with n, while averages with end points decrease. Averages including one end point are treated as a special case of upper and lower Riemann sums, which are ...
Grahame Bennett, G. J. O. Jameson
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On the conditions of monotonicity of functions [PDF]
Fundamenta Mathematicae, 1966 Tadeusz Świątkowski
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ReMIX: Regret Minimization for Monotonic Value Function Factorization in Multiagent Reinforcement Learning [PDF]
arXiv.org, 2023 Value function factorization methods have become a dominant approach for cooperative multiagent reinforcement learning under a centralized training and decentralized execution paradigm.
Yongsheng Mei, Hanhan Zhou, Tian Lan
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Mixture functions and their monotonicity [PDF]
Information Sciences, 2019 We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need not be monotone increasing. For this reason we study su cient conditions to ensure standard, weak and directional monotonicity for ...
Jana Špirková +3 more
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The Metastable Mpemba Effect Corresponds to a Non-monotonic Temperature Dependence of Extractable Work [PDF]
Frontiers of Physics, 2021 The Mpemba effect refers to systems whose thermal relaxation time is a non-monotonic function of the initial temperature. Thus, a system that is initially hot cools to a bath temperature more quickly than the same system, initially warm.
R. Ch'etrite +2 more
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Monotone functions and maps [PDF]
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012 30 pages. Version 2 appeared in RACSAM. In version 3 Corollaries 1 and 2 were corrected.
Nicolai Vorobjov +2 more
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Some conditions for sequences to be minimal completely monotonic
AIMS Mathematics, 2023 In this article, we establish some necessary conditions for sequences to be minimal completely monotonic. We also present some properties for completely monotonic sequences.
Xifeng Wang, Senlin Guo
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When is a monotone function cyclically monotone?
Theoretical Economics, 2021 We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
Kushnir, Alexey, Lokutsievskiy, Lev V.
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