Results 11 to 20 of about 4,451,088 (304)

From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]

J Math Anal Appl, 2021
Qi F, Guo BN.
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Complete monotonicity-preserving numerical methods for time fractional ODEs [PDF]

Communications in Mathematical Sciences, 2021
The time fractional ODEs are equivalent to the convolutional Volterra integral equations with a weakly singular kernel. The corresponding kernel is a typical completely monotone function.
Lei Li, Dongling Wang
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Regular black holes and complete monotonicity [PDF]

Journal of High Energy Physics
We 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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Lower Bound of Sectional Curvature of Fisher–Rao Manifold of Beta Distributions and Complete Monotonicity of Functions Involving Polygamma Functions

Results in Mathematics, 2021
In the paper, by virtue of convolution theorem for the Laplace transforms and analytic techniques, the author finds necessary and sufficient conditions for complete monotonicity, monotonicity, and inequalities of several functions involving polygamma ...
Feng Qi
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Complete monotonicity and inequalites involving Gurland's ratios of gamma functions [PDF]

Mathematical Inequalities & Applications, 2019
In this paper, by a comparison inequality for an auxiliary function with two parameters, we present necessary and sufficient conditions for four classes of ratios involving gamma function to be logarithmically completely monotonic. These not only greatly
Zhen-Hang Yang, Shen-Zhou Zheng
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Complete monotonicity of some entropies [PDF]

Periodica Mathematica Hungarica, 2016
It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and negative ...
I. Raşa
semanticscholar   +5 more sources

Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

Journal of Inequalities and Applications, 2020
In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving
Ju-Mei Zhang, Li Yin, Hong-Lian You
doaj   +2 more sources

On Complete Monotonicity of Solution to the Fractional Relaxation Equation with the nth Level Fractional Derivative [PDF]

Mathematics, 2020
In this paper, we first deduce the explicit formulas for the projector of the nth level fractional derivative and for its Laplace transform. Afterwards, the fractional relaxation equation with the nth level fractional derivative is discussed.
Yuri Luchko
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Complete Monotonicity property for two functions related to the q-digamma function [PDF]

Journal of Mathematical Inequalities, 2019
In this paper, the complete monotonicity property for two functions involving the q digamma function are proven for all positive real q and exploited to establish some sharp inequalities for the q -gamma, q -digamma and q -polygamma functions ...
Ahmed Salem, Faris Alzahrani
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A Characterization of Optimal Prefix Codes [PDF]

Entropy
A property of prefix codes called strong monotonicity is introduced, and it is proven that for a given source, a prefix code is optimal if and only if it is complete and strongly monotone.
Spencer Congero, Kenneth Zeger
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