New Inequalities for Nielsen’s Beta Function

Kwara Nantomah


By employing the classical mean value theorem, Hermite-Hadamard inequality and some other analytical techniques, we establish some new inequalities for Nielsen's beta function. Some of these inequalities provide bounds for certain ratios of the gamma function.


Nielsen’s beta function; Gamma function; Hermite-Hadamard inequality; Mean value theorem; Inequality

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