Zhen-Hang Yang

collaborators

2 papers

math.CA2025

Extension of a complete monotonicity theorem with applications

Zhen-Hang Yang

Let $F_{p} (x) = L (t^{p} f (t)) = \int_{0}^{\infty} t^{p} f (t) e^{- x t} d t$ converge on $(0, \infty)$ for $p \in N_{0} = N \cup 0$ , where $f (t)$ is positive on $(0, \infty)$ .…

math.GM2024

Monotonicity and inequalities for ratios of Bernoulli polynomials and numbers

Zhen-Hang Yang, Feng Qi

In the work, the authors establish the monotonicity of the ratios $$ \frac{B_{2\ell-1}(s)}{B_{2\ell+1}(s)}, \quad \frac{B_{2\ell}(s)}{B_{2\ell+1}(s)}, \quad \frac{B_{2m}(s)}{B_{2\e…