Results 21 to 30 of about 357 (103)
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
doaj +1 more source
Monotone and convex H*‐algebra valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995 Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley +1 more source
Optimal inequalities involving power-exponential mean, arithmetic mean and geometric mean
, 2017 For a,b > 0 with a = b , the power-exponential mean is defined by Z ≡ Z (a,b) = exp ( a lna+b lnb a+b ) = √ abe tanht , where t = ln √ a/b . In this paper, we prove the double inequality ( Zp +Gp 2 )1/p < A < ( Zq +Gq 2 )1/q holds for a,b > 0 , a = b ...
Zhen-Hang Yang, Jing-feng Tian
semanticscholar +1 more source
Monotone subsequence via ultrapower
Open Mathematics, 2018 An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, and ...
Błaszczyk Piotr +3 more
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An integral representation and properties of Bernoulli numbers of the second kind [PDF]
, 2013 In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\infty)$.Comment: 9 ...
Qi, Feng
core +1 more source
Copulas, stable tail dependence functions, and multivariate monotonicity
Dependence Modeling, 2019 For functions of several variables there exist many notions of monotonicity, three of them being characteristic for resp. distribution, survival and co-survival functions. In each case the “degree” of monotonicity is just the basic one of a whole scale.
Ressel Paul
doaj +1 more source
On an open problem of Feng Qi and Bai-Ni Guo
, 2020 In this work, we investigate an open problem posed by Feng Qi and Bai-Ni Guo in their paper ”Complete monotonicities of functions involving the gamma and digamma functions [7]”. Mathematics subject classification (2010): 26A09, 33B10, 26A48.
M. Bouali
semanticscholar +1 more source
Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]
, 2012 In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
core +1 more source
On the refinements of the integral Jensen-Steffensen inequality
Journal of Inequalities and Applications, 2013 In this paper, we present integral versions of some recently proved results which refine the Jensen-Steffensen inequality. We prove the n-exponential convexity and log-convexity of the functions associated with the linear functionals constructed from the
Sadia Khalid, J. Pečarić
semanticscholar +2 more sources
Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
, 2014 In the paper, the authors establish, by Cauchy integral formula in the theory of complex functions, Levy-Khintchine representation for the geometric mean of many positive numbers, find that the geometric mean of many positive numbers is a complete ...
Feng Qi (祁锋) +2 more
semanticscholar +1 more source