Results 41 to 50 of about 538 (121)
An integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind [PDF]
Bulletin of the Korean Mathematical Society 52 (2015), no. 3,
987--998, 2013 In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind.
arxiv +2 more sources
Dunkl completely monotonic functions [PDF]
, 2015 We introduce the notion of Dunkl completely monotonic functions on $\left(-\sigma,\sigma\right), \sigma>0$. We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.
arxiv +1 more source
Logarithmic convexity of Gini means [PDF]
Jiao-Lian Zhao, Qiu-Ming Luo, Bai-Ni Guo, and Feng Qi, Logarithmic
convexity of Gini means, Journal of Mathematical Inequalities 6 (2012), no.
4, 509--516, 2009 In the paper, the monotonicity and logarithmic convexity of Gini means and related functions are investigated.
arxiv +1 more source
Some classes of completely monotonic functions related to q-gamma and q-digamma functions
, 2016 In the paper, some classes of completely monotonic functions involving the q -gamma and q -digamma functions are derived. The monotonicity properties of these functions are exploited to establish a double inequality for the ratio of the q -gamma function
A. Salem
semanticscholar +1 more source
A certain class of completely monotonic sequences
Advances in Differential Equations, 2013 In this article, we present some necessary conditions, a sufficient condition and a necessary and sufficient condition for sequences to be completely monotonic. One counterexample is also presented.MSC:40A05, 26A45, 26A48, 39A60.
Senlin Guo, H. Srivastava, Necdet Batır
semanticscholar +2 more sources
Journal of King Saud University: Science, 2023 The discrete analysed fractional operator technique was employed to demonstrate positive findings concerning the Atangana-Baleanu and discrete Caputo-Fabrizo fractional operators.
Pshtiwan Othman Mohammed +5 more
doaj
An inequality for completely monotone functions [PDF]
arXiv, 2022 An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.
arxiv
Complete monotonicity properties of functions involving q-gamma and q-digamma functions
, 2014 In this paper, the q -analogue of the Stirling formula (the Moak formula) for the q gamma function is exploited to prove the complete monotonicity property of functions involving the q -gamma and the q -digamma functions.
A. Salem
semanticscholar +1 more source
Gaps Between Classes of Matrix Monotone Functions [PDF]
, 2002 The class Pn(I) of matrix monotone functions of order n, defined on an open interval I, is considered in this paper. Explicit examples are given to prove that if I is different from the whole real line, then Pn+1(I) is a proper subset of Pn(I) for each ...
Frank Hansen, Guoxing Ji, J. Tomiyama
semanticscholar +1 more source
Rearrangements of general monotone functions and of their Fourier transforms
, 2018 We extend further Boas’ conjecture concerning functions nonincreasing on (0,∞) and their Fourier transforms by considering rearrangements of general monotone functions and of their Fourier transforms.
Barry Booton
semanticscholar +1 more source