Lévy-Khintchine representation of Toader-Qi mean

DOI10.7153/mia-2018-21-29zbMath1384.44002OpenAlexW3124567073MaRDI QIDQ4634658

Bai-Ni Guo, Feng Qi

Publication date: 11 April 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-29

zbMATH Keywords

Bessel function of the first kindintegral representationinequalityToader-Qi meanBernstein functionStieltjes functionLévy-Khintchine representationprobabilistic interpretationapplication in engineeringweighted geometric Mean

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Means (26E60)

Related Items (11)

Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Monotonicity and inequalities related to complete elliptic integrals of the second kind ⋮ A mechanically-based proof of the arithmetic mean harmonic mean inequality ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ On approximating the quasi-arithmetic mean ⋮ 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 ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications

Uses Software

• DLMF

Cites Work

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