Monotonicity and inequalities for the ratios of two Bernoulli polynomials
Abstract
In the article, the authors establish the monotonicity of the ratios equation* B2n-1(t)B2n+1(t), B2n(t)B2n+1(t), B2m(t)B2n(t), B2n(t)B2n-1(t) equation* and derive some known and new inequalities of the Bernoulli polynomials Bn(t), the Bernoulli numbers B2n, and their ratios such as B2n+2B2n.
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