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…