Results 11 to 20 of about 346 (88)
Sharp lower and upper bounds for the q-gamma function
, 2020 This paper is devoted to provide sharp bounds for the q -gamma function from below and above for all q > 0 by means of investigating the monotonicity property to analytical functions involving logarithm q -gamma function.
A. Salem
semanticscholar +1 more source
Some properties of the generalized Gaussian ratio and their applications
, 2020 We are devoted to an integral, asymptotic expansion and Maclaurin series representation for the generalized Gaussian ratio, and find their various related properties such as complete monotonicity and some useful inequalities.
Zhen-Hang Yang, B. Xi, Shenzhou Zheng
semanticscholar +1 more source
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
core +1 more source
Journal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009 In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
wiley +1 more source
A new proof of monotonicity for extended mean values
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 417-421, 1999., 1999 In this article, a new proof of monotonicity for extended mean values is given.
Feng Qi, Sen-Lin Xu, Lokenath Debnath
wiley +1 more source
, 2018 Let Iv (x) be modified Bessel functions of the first kind. We prove the monotonicity property of the function x → Iu (x) Iv (x)/I(u+v)/2 (x) on (0,∞) .
Zhen-Hang Yang, Shenzhou Zheng
semanticscholar +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
Complete monotonicity and inequalites involving Gurland's ratios of gamma functions
Mathematical Inequalities & Applications, 2019 In this paper, by a comparison inequality for an auxiliary function with two parameters, we present necessary and sufficient conditions for four classes of ratios involving gamma function to be logarithmically completely monotonic. These not only greatly
Zhen-Hang Yang, Shenzhou Zheng
semanticscholar +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
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
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