Results 11 to 20 of about 307,506 (317)
A necessary and sufficient condition for sequences to be minimal completely monotonic
Advances in Difference Equations, 2020 In this article, we present a necessary and sufficient condition under which sequences are minimal completely monotonic.
Xi-Feng Wang +3 more
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Arab Journal of Basic and Applied Sciences, 2021 In the paper, the author presents bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders of ...
Feng Qi
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Complete monotonicity involving some ratios of gamma functions
Journal of Inequalities and Applications, 2017 In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
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On the monotonicity of the broadcast function
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hovhannes A. Harutyunyan +1 more
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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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A Note on Superspirals of Confluent Type
Mathematics, 2020 Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi +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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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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ON SEQUENCES OF MONOTONE FUNCTIONS [PDF]
Real Analysis Exchange, 1998 Several kinds of convergence (pointwise, uniform, a.c., transfinite) of monotone functions are studied. Namely, the author shows how an increasing function \(f:[a,b]\to \mathbb R\) can be expressed as a limit of certain sequences of monotone functions \(f_n\) converging to \(f\) in various senses.
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The spatial stability of a class of similarity solutions [PDF]
, 1984 The spatial stability of a class of exact similarity solutions of the Navier–Stokes equations whose longitudinal velocity is of the form xf′(y), where x is the streamwise coordinate and f′(y) is a function of the transverse, cross‐streamwise, coordinate ...
Brady, J. F., Durlofsky, L.
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