Results 11 to 20 of about 2,422,350 (276)
Monotonicity and complete monotonicity for continuous-time Markov chains [PDF]
Comptes Rendus. Mathématique, 2006 We analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in discrete-time, the two notions are not equivalent. However, we show that there are partially ordered sets for which monotonicity and complete monotonicity coincide in ...
Pra, PD, Louis, PY, Minelli, I
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Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
Abstract and Applied Analysis, 2014 Some complete monotonicity results that the functions ±1/e±t-1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive ...
Chun-Fu Wei, Bai-Ni Guo
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A SOLUTION TO FOURTH QI’S CONJECTURE ON A COMPLETE MONOTONICITY [PDF]
Проблемы анализа, 2020 In the paper, a complete monotonicity for some function is proved. This problem was posted by F. Qi and R.P.
L. Matej´ıcka
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Regular black holes and complete monotonicity
Journal of High Energy PhysicsWe examine the conjecture for the complete monotonicity of certain curvature invariants for regular black holes. In this note, we study a class of regular black holes that are static, spherically symmetric, and characterized only by their mass.
A. Almasi, A. Moradpouri, M. Shahbazi
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Complete Monotonicity of Logarithmic Mean [PDF]
, 2007 In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
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Complete Monotone Quasiconcave Duality [PDF]
Mathematics of Operations Research, 2011 We introduce a notion of complete monotone quasiconcave duality, motivated by some economic applications. We show that this duality holds for important classes of quasiconcave functions.
Cerreia Vioglio, Simone +3 more
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On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions [PDF]
Journal of the London Mathematical Society, 1983 The authors answer several previously open questions about c.m. (completely monotonic) sequences and functions. (1) If W(x) is c.m. on \([a,\infty)\) and \(\{\Delta x_ k\}\) is c.m. with \(x_ 0\geq a,\) then \(\{W(x_ k)\}_ 0^{\infty}\) is c.m. Also, the sequence \(\{\mu_ k^{\lambda}\},\quad\mu_ 0=1,\quad\mu_ k>0,\quad k=1,2,...,\) is c.m.
Lorch, Lee, Newman, Donald J.
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The Best Bounds in Gautschi-Kershaw Inequalities [PDF]
, 2005 By employing the convolution theorem of Laplace transforms, some asymptotic formulas and integral representations of the gamma, psi and polygamma functions, and other analytic techniques, this note provides an alternative proof of a monotonicity and ...
Qi, Feng, Chen, Chao-Ping, Guo, Bai-Ni
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A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality [PDF]
, 2006 In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
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Logarithmically completely monotonic rational functions
Automatica, 2023 This paper studies the class of logarithmically completely monotonic (LCM) functions. These functions play an important role in characterising externally positive linear systems which find applications in important control problems such as non-overshooting reference tracking.
Taghavian, Hamed +2 more
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