New Inequalities for Nielsen’s Beta Function

Kwara Nantomah

Abstract


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.

Keywords


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

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References


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DOI: http://dx.doi.org/10.26713%2Fcma.v10i4.1233

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