The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function

DOI10.2989/16073606.2017.1396508zbMath1400.30046OpenAlexW2767703814MaRDI QIDQ5375884

Feng Qi, Bai-Ni Guo

Publication date: 17 September 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1396508

zbMATH Keywords

weighted geometric meanweighted arithmetic meanCauchy integral formula

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Means (26E60)

Related Items (8)

Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Integral representations of bivariate complex geometric mean and their applications ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Lévy-Khintchine representation of Toader-Qi mean ⋮ Integral representations of the large and little Schröder numbers ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Completely monotonic degrees for a difference between the logarithmic and psi functions ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions

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