Results 21 to 30 of about 312,373 (317)
On the monotonicity of Hilbert functions [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2018 In this paper we show that a large class of one-dimensional Cohen–Macaulay local rings (\mathcal A,\mathfrak m) has the property that if M is a maximal Cohen ...
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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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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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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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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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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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Some integral inequalities for operator monotonic functions on Hilbert spaces
Special Matrices, 2020 Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
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Dose-Response, 2023 We had previously demonstrated on various stable cell cultures exposed to chemically different nanoparticles when assessing their cytotoxicity by different outcomes, dose-response relationships may be either monotonic or non-monotonic falling within an ...
Tatiana V. Bushueva +7 more
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Comptes Rendus. Mathématique, 2023 In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1 ...
Mao, Zhong-Xuan, Tian, Jing-Feng
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Continuity of monotone functions [PDF]
Pacific Journal of Mathematics, 1982 The author has obtained the following results for real functions on the closed unit interval in the style of \textit{E. A. Bishop's} ''Foundations of constructive analysis'' (1967): (Theorem 1) For nondecreasing f the following are equivalent, pointwise continuity, uniform continuity, f is antidecreasing \((f(x)
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