A double inequality for a generalized-Euler-constant function

DOI10.1016/j.jmaa.2011.03.049zbMath1225.65008OpenAlexW2047710602MaRDI QIDQ541241

Vito Lampret

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.049

zbMATH Keywords

rate of convergenceEuler-Maclaurin summation formulaacceleration of convergencegeneralized Euler's constantsgeneralized gamma-sequence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other special orthogonal polynomials and functions (33C47) Euler-Maclaurin formula in numerical analysis (65B15) Inequalities involving other types of functions (26D07)

Related Items (2)

Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ Asymptotic inequalities for alternating harmonics

Cites Work

• An accurate approximation of zeta-generalized-Euler-constant functions
• An interplay between a generalized-Euler-constant function and the Hurwitz zeta function
• Approximation of Sondow's generalized-Euler-constant function on the interval \([- 1, 1\)]
• Improved convergence towards generalized Euler-Mascheroni constant
• On the computation of the Euler constant \({\gamma}\)
• A generalization of Euler's constant
• The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
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