Results 1 to 10 of about 357 (103)
An accurate approximation formula for gamma function. [PDF]
J Inequal Appl, 2018 In this paper, we present a very accurate approximation for gamma function: \begin{equation*} \Gamma \left( x+1\right) \thicksim \sqrt{2\pi x}\left( \dfrac{x}{e}\right) ^{x}\left( x\sinh \frac{1}{x}\right) ^{x/2}\exp \left( \frac{7}{324}\frac{1}{ x^{3 ...
Yang ZH, Tian JF.
europepmc +2 more sources
Journal of Mathematical Inequalities, 2021 Let K (r) be the complete elliptic integral of the first kind. In this paper, we prove that the function Fp (x) = (1− x) expK ( √ x) is absolutely monotonic on (0,1) if and only if p π/8 , and −F ′ p (x) is absolutely monotonic on (0,1) if and only if 1 ...
Zhen-Hang Yang, Jing-feng Tian
semanticscholar +1 more source
Mathematical Inequalities & Applications, 2021 In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives
Feng Qi (祁锋)
semanticscholar +1 more source
Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj +1 more source
Veterinary Dermatology, Volume 34, Issue 6, Page 586-596, December 2023., 2023 Background – In clinical practice, the diagnosis of otitis externa (OE) normally is based on otoscopic examination and cytological findings, followed by empirical treatment with topic drugs. Biofilm‐producing bacteria are frequently present in OE, even if its presence is often underdiagnosed. Hypothesis/Objectives – The primary aim of this study was to
Luca Luciani +6 more
wiley +1 more source
Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem [PDF]
Journal of Inequalities and Applications, 2009 In the expository review and survey paper dealing with bounds for the ratio of two gamma functions, along one of the main lines of bounding the ratio of two gamma functions, the authors look back and analyze some known results, including Wendel’s ...
Feng Qi (祁锋), Qiu-Ming Luo
semanticscholar +2 more sources
Complete monotonicity of some functions involving k-digamma function with application
Journal of Mathematical Inequalities, 2021 We present several complete monotonicity properties involving k -digamma function with single parameter. These established results provide a k -generalization for the known results obtained by Burić and Elezović in [5]. Finally, we give an application to
L. Yin, Li-Guo Huang, Xiuli Lin
semanticscholar +1 more source
Dependence Modeling, 2021 The paper investigates the Hoeffding–Sobol decomposition of homogeneous co-survival functions. For this class, the Choquet representation is transferred to the terms of the functional decomposition, and in addition to their individual variances, or to ...
Mercadier Cécile, Ressel Paul
doaj +1 more source
Three families of two-parameter means constructed by trigonometric functions
Journal of Inequalities and Applications, 2013 In this paper, we establish three families of trigonometric functions with two parameters and prove their monotonicity and bivariate log-convexity. Based on them, three two-parameter families of means involving trigonometric functions, which include ...
Zhen-Hang Yang
semanticscholar +2 more sources
m-Convex Functions of Higher Order
Annales Mathematicae Silesianae, 2020 In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.
Lara Teodoro +2 more
doaj +1 more source