Results 21 to 30 of about 302,192 (337)
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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Monotonic Averages of Convex Functions
Journal of Mathematical Analysis and Applications, 2000 This very nice paper contains several interesting results. The authors summarize its subject as follows: ``We 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 ...
Grahame Bennett, G. J. O. Jameson
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Improving Point and Interval Estimates of Monotone Functions by Rearrangement [PDF]
, 2008 Suppose that a target function is monotonic, namely, weakly increasing, and an available original estimate of this target function is not weakly increasing.
Chernozhukov, Victor +2 more
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A SOLUTION TO QI’S EIGHTH OPEN PROBLEM ON COMPLETE MONOTONICITY
Проблемы анализа, 2021 n this paper, the complete monotonicity of 1/( arctan 𝑥) is proved. This problem was posted by F. Qi and R. P. Agarwal as the eighth open problem of collection of eight open problems.
A. Venkata Lakshmi
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Вестник Дагестанского государственного технического университета: Технические науки, 2016 The numerical method of optimization the construction of radio-electronic device at early design stages by criterion of manufacturability when the area of tolerances in space of input variables in which all points restrictions on a manufacturability ...
G. Kh. Irzaev
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On a Conjecture of Alzer, Berg, and Koumandos
Mathematics, 2020 In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ (
Ladislav Matejíčka
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Global stability of a continuous bioreactor model under persistent variation of the dilution rate
Mathematical Biosciences and Engineering, 2023 In this work, the global stability of a continuous bioreactor model is studied, with the concentrations of biomass and substrate as state variables, a general non-monotonic function of substrate concentration for the specific growth rate, and constant ...
Alejandro Rincón +2 more
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A complete monotonicity property of the multiple gamma function
Comptes Rendus. Mathématique, 2020 We consider the following functions \[ f_n(x)=1-\ln x+\frac{\ln G_n(x+1)}{x} \text{ and }g_n(x)=\frac{\@root x \of {G_n(x+1)}}{x},\; x\in (0,\infty ),\; n\in \mathbb{N}, \] where $G_n(z)=\left(\Gamma _n(z)\right)^{(-1)^{n-1}}$ and $\Gamma _n$ is the ...
Das, Sourav
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Sharp bounds for a ratio of the q-gamma function in terms of the q-digamma function
Journal of Inequalities and Applications, 2021 In the present paper, we introduce sharp upper and lower bounds to the ratio of two q-gamma functions Γ q ( x + 1 ) / Γ q ( x + s ) ${\Gamma }_{q}(x+1)/{\Gamma }_{q}(x+s)$ for all real number s and 0 < q ≠ 1 $0< q\neq1$ in terms of the q-digamma function.
Faris Alzahrani +2 more
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A result regarding monotonicity of the Gamma function
Acta Universitatis Sapientiae: Mathematica, 2017 In this paper we analyze the monotony of the function ln Γ(x)ln (x2+τ)-ln (x+τ)${{{\rm{ln}}\,\Gamma ({\rm{x}})} \over {{\rm{ln}}\,({\rm{x}}^2 + \tau) - {\rm{ln}}\,({\rm{x}} + \tau)}}$ , for τ > 0.
Kupán Pál A. +2 more
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