Results 21 to 30 of about 10,684,153 (270)
A completely monotonic function involving the tri- and tetra-gamma functions [PDF]
, 2010 The di-gamma function ψ(x) is defined on (0,∞) by $\psi (x) = \frac{{\Gamma '(x)}} {{\Gamma (x)}} $ and ψ(i)(x) for i ∈ ℕ denote the polygamma functions, where Γ(x) is the classical Euler’s gamma function. In this paper we prove that a function involving
Bai-Ni Guo (郭白妮) +2 more
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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 monotonic bijections on subgroups of R
Applied General Topology, 2016 We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically isomorphic to $\langle G, +\rangle$
Raushan Buzyakova
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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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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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Completely Monotonic Gamma Ratio and Infinitely Divisible H-Function of Fox [PDF]
, 2015 We investigate conditions for logarithmic complete monotonicity of a quotient of two products of gamma functions, where the argument of each gamma function has a different scaling factor.
D. Karp, E. Prilepkina
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Non‐Monotonic Response of the Climate System to Abrupt CO2 Forcing
Geophysical Research Letters, 2021 We explore the climate system response to abrupt CO2 forcing, spanning the range 1× to 8×CO2, with two state‐of‐the‐art coupled atmosphere‐ocean‐sea‐ice‐land models: the NASA Goddard Institute for Space Studies Model E2.1‐G (GISS‐E2.1‐G) and the ...
I. Mitevski +4 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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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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