Results 81 to 90 of about 326 (116)
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
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Results Phys, 2023 Chu YM +6 more
europepmc +1 more source
Sharp bounds for the arithmetic-geometric mean
, 2014 In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.MSC:26E60, 26D07, 33E05.
Zhen-Hang Yang, Ying-Qing Song, Y. Chu
semanticscholar +1 more source
Some properties of the psi and polygamma functions [PDF]
Bai-Ni Guo and Feng Qi, Some properties of the psi and polygamma
functions, Hacettepe Journal of Mathematics and Statistics 39 (2010), no. 2,
219--231, 2009 In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.
arxiv
Two double inequalities for k-gamma and k-Riemann zeta functions
, 2014 By using methods in the theory of majorization, a double inequality for the gamma function is extended to the k-gamma function and the k-Riemann zeta function.MSC:33B15, 26D07, 26B25.
Jing Zhang, Huan-Nan Shi
semanticscholar +1 more source
On Hermite-Hadamard type inequalities for F-convex function
Miskolc Mathematical Notes, 2019 In this study, we firstly give some properties the family F and F -convex function which are defined by B. Samet. Then, we obtain some midpoint inequalities for differentiable function. Moreover, we establish some midpoint and trapezoid type inequalities
H. Budak, T. Tunç, M. Sarıkaya
semanticscholar +1 more source
Gautchi's ratio and the Volume of the unit ball in R^n [PDF]
arXiv, 2009 Let Omega(n) be the volume of the unit ball in R^n. We formulate as an infinite product the gamma function ratio gamma(x+1/2)/gamma(x),x>0, which allows us to reproduce and /or produce a variety of formulas and inequalities, some of them seemingly new, concerning Omega(n-1)/Omega(n),and (Omega(n))^2/Omega(n-1)Omega(n+1)
arxiv
Dominance in the family of Sugeno-Weber t-norms [PDF]
arXiv, 2010 The dominance relationship between two members of the family of Sugeno Weber t-norms is proven by using a quantifer elimination algorithm. Further it is shown that dominance is a transitive, and therefore also an order relation, on this family of t-norms.
arxiv
An alternative note on the Schur-convexity of the extended mean values
, 2006 The Schur-convex and Schur-concave properties with (x, y) in (0,∞) × (0,∞) for fixed (r, s) of the extended mean values E(r, s; x, y) are researched again, some errors in [F. Qi, J. Sandor, S. S. Dragomir, and A. Sofo, Notes on the Schur-convexity of the
Huan-Nan Shi +2 more
semanticscholar +1 more source
The Proof of Alzer's Conjecture on Generalized Logarithmic Mean [PDF]
arXiv, 2011 In 1987, Alzer posed a conjecture on generalized logarithmic mean, which was introduced by Stolarsky in 1975. To prove Alzer's conjecture, Lou posed a conjecture on generalized inverse harmonic mean in 1995. By proving Lou's conjecture, the paper yields Alzer's conjecture finally.
arxiv