Results 11 to 20 of about 357 (103)
Monotonicity results and bounds for the inverse hyperbolic sine [PDF]
, 2009 In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine.
B-N Guo +14 more
core +2 more sources
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
Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
doaj +1 more source
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
Best bounds for the Lambert W functions
Journal of Mathematical Inequalities, 2020 This paper is devoted to provide tractable closed-form upper and lower bounds for the two real branches of the Lambert W function W(z(t)) for all positive real variable t where z(t) is increasing function on (0,∞) and bounded by zero and −e−1 ...
A. Salem
semanticscholar +1 more source
A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
Open Mathematics, 2016 We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques.
de Amo Enrique +2 more
doaj +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
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
, 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
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