Results 31 to 40 of about 357 (103)
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
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A Note on Generating Functions for Hausdorff Moment Sequences [PDF]
, 2008 For functions $f$ whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of $w(y):=|f(\gamma+iy)|$ for $y>0$ ($\gamma\leq1$ fixed)
Roth, Oliver +2 more
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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
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Two monotonic functions involving gamma function and volume of unit ball
, 2010 In present paper, we prove the monotonicity of two functions involving the gamma function $\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\mathbb{B}^n$ in $\mathbb{R}^n$.Comment: 7 ...
Anderson G. D. +12 more
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Monotonicity properties and inequalities related to generalized Grötzsch ring functions
Open Mathematics, 2019 In the paper, the authors present some monotonicity properties and some sharp inequalities for the generalized Grötzsch ring function and related elementary functions. Consequently, the authors obtain new bounds for solutions of the Ramanujan generalized
Wang Fei, He Jian-Hui, Yin Li, Qi Feng
doaj +1 more source
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
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Generalization of Some Inequalities for the Ratio of Gamma Functions [PDF]
, 2014 access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright C K. Nantomah +4 more
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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
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An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem
, 2009 In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
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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
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