On a general inequality related to the generalized-Euler-constant function

DOI10.7153/JMI-2020-14-38zbMath1444.26038OpenAlexW3035655268MaRDI QIDQ3304688

Aimin Xu, Hanqi Tang

Publication date: 3 August 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-38

zbMATH Keywords

inequalitygeneralized-Euler-constant functiongeneralized Somos recurrence constant

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

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• On Somos' quadratic recurrence constant
• Approximation of Sondow's generalized-Euler-constant function on the interval \([- 1, 1\)]
• A note on Somos' quadratic recurrence constant
• Estimating the Somos' quadratic recurrence constant
• Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant
• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• New asymptotic expansions related to Somos' quadratic recurrence constant
• Some new continued fraction estimates of the Somos' quadratic recurrence constant
• Arithmetical properties of some series with logarithmic coefficients
• New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$
• Vacca-type series for values of the generalized-Euler-constant function and its derivative
• On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant
• Asymptotic expansion related to the generalized Somos recurrence constant
• Double Integrals for Euler's Constant and in $\frac{4}{\pi}$ and an Analog of Hadjicostas's Formula

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