Improving some inequalities associated with the Euler-Mascheroni constant

DOI10.7153/jmi-2019-13-44zbMath1434.40004OpenAlexW2979989794MaRDI QIDQ5244236

Jenică Crînganu

Publication date: 20 November 2019

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

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-44

zbMATH Keywords

convergencesequenceEuler-Mascheroni constant

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation to limiting values (summation of series, etc.) (40A25) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Inequalities for the Euler-Mascheroni constant
• On the alternating series \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots\)
• Inequalities for the gamma and polygamma functions
• Limits and inequalities associated with the Euler-Mascheroni constant
• A Quicker Convergence to Euler's Constant
• Inequalities for Zero-Balanced Hypergeometric Functions
• 75.9 Euler’s Constant
• 3295. Approximate evaluation of Euler’s constant
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