An integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind
Feng Qi, Xiao-Jing Zhang
TL;DR
This paper introduces an integral representation and explores inequalities and complete monotonicity properties of Bernoulli numbers of the second kind, advancing understanding of their mathematical structure.
Contribution
It presents new integral formulas and monotonicity results for Bernoulli numbers of the second kind, which were not previously known.
Findings
Derived an integral representation for Bernoulli numbers of the second kind.
Established inequalities related to these Bernoulli numbers.
Proved their complete monotonicity property.
Abstract
In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind.
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