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dc.contributor.authorDas S.-
dc.contributor.authorSwaminathan, Anbhu-
dc.identifier.citationMathematical Inequalities and Applications(2020), 23(1): 71-76-
dc.description.abstractIn this work, we discuss some new inequalities and a concavity property of the polygamma function ψ n (x) = ψ (x), x > 0, where ψ (x) represents the digamma function (i.e. logarithmic derivative of the gamma function Γ(x)). Using these inequalities, minimum value of harmonic mean of (−1) ψ n (x) and (−1) ψ n (1/x) is obtained in terms of the Riemann zeta function and the Bernoulli numbers. Further new characterizations of π and the Apéry’s constant are also presented as a consequence. ( ) dn n ( ) n ( ) dx n-
dc.publisherElement D.O.O.-
dc.relation.ispartofMathematical Inequalities and Applications-
dc.subjectHarmonic mean-
dc.subjectMonotonicity properties-
dc.subjectPolygamma function-
dc.titleA harmonic mean inequality for the polygamma function-
dc.affiliationDas, S., Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, 831014, India-
dc.affiliationSwaminathan, A., Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand 247667, India-
dc.description.correspondingauthorDas, S.; Department of Mathematics, India; email:
Appears in Collections:Journal Publications [MA]

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