Results 41 to 50 of about 6,291 (196)
Monotonicity, concavity, and inequalities related to the generalized digamma function
Advances in Difference Equations, 2018 In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
Li Yin +3 more
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Three classes of decomposable distributions
Open Mathematics, 2020 In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem +2 more
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Extension of complete monotonicity results involving the digamma function
Moroccan Journal of Pure and Applied Analysis, 2018 By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
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Notes on three conjectures involving the digamma and generalized digamma functions
Journal of Inequalities and Applications, 2018 In the paper, we solve one conjecture on an inequality involving digamma function, an open problem, and a conjecture on monotonicity of functions involving generalized digamma function. We also prove a new inequality for digamma function.
Ladislav Matejíčka
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Complete problems for monotone NP
Theoretical Computer Science, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complete Closedness of Maximal Monotone Operators [PDF]
Mathematics of Operations Research, 1983 (This paper is dedicated to the memory of Professor Kwan Chao-Chin, former academic member and director of the Institute of System Science of the Academy of Chinese Sciences.) A maximal monotone operator in Rn is completely closed, i.e., not only closed for points, but also closed for directions. Such a completely closed operator is locally bounded at
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Monotonicity and inequalities for the gamma function
Journal of Inequalities and Applications, 2017 In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
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A conjecture concerning a completely monotonic function
Computers & Mathematics with Applications, 2010 Based on a sequence of numerical computations, a conjecture is presented regarding the class of functions $H(x;a)=\exp(a)-(1+a/x)^x$, and the open problem of determining the values of $a$ for which the functions are completely monotonic with respect to $x$.
Ekaterina Shemyakova +2 more
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On complete monotonicity of linear combination of finite psi functions
, 2019 International audienceIn the paper, the authors supply complete monotonicity of linear combination of finite psi functions and extend some known ...
Qi, Feng, Guo, Bai-Ni
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On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function
Journal of Mathematics, 2021 In this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx.
Hesham Moustafa +2 more
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