Continued fraction inequalities for the Euler-Mascheroni constant

DOI10.1186/1029-242X-2014-343zbMath1332.11111arXiv1407.3865WikidataQ59323199 ScholiaQ59323199MaRDI QIDQ257885

Xu You, Hongmin Xu

Publication date: 17 March 2016

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

Full work available at URL: https://arxiv.org/abs/1407.3865

zbMATH Keywords

rate of convergenceTaylor's formulacontinued fractionEuler-Mascheroni constantharmonic sequence

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Evaluation of number-theoretic constants (11Y60)

Related Items (11)

Some new sequences that converge to the Ioachimescu constant ⋮ Continued fraction inequalities related to \((1+\frac{1}{x})^x\) ⋮ Harmonic number expansions of the Ramanujan type ⋮ Multiple-correction and continued fraction approximation. II ⋮ Monotone and fast computation of Euler's constant ⋮ On new sequences converging towards the Ioachimescu's constant ⋮ Some new quicker convergences to Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Multiple-correction and continued fraction approximation ⋮ Some sequences converging towards Ioachimescu's constant related to Ramanujan's formula ⋮ Multiple-correction and faster approximation ⋮ Some sharp continued fraction inequalities for the Euler-Mascheroni constant

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