Some new continued fraction approximation of Euler's constant

DOI10.1016/j.jnt.2014.07.002zbMath1394.11082OpenAlexW2021174085MaRDI QIDQ472816

Dawei Lu, Yang Yu, Lixin Song

Publication date: 20 November 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.07.002

zbMATH Keywords

rate of convergenceasymptotic expansioncontinued fractionEuler's constant

Mathematics Subject Classification ID

Continued fractions (11A55) Rate of convergence, degree of approximation (41A25) Numerical approximation and evaluation of special functions (33F05) Evaluation of number-theoretic constants (11Y60)

Related Items (14)

A series of sequences convergent to Euler's constant ⋮ A new sequence related to the Euler-Mascheroni constant ⋮ Some new exponential-function estimates of the Somos' quadratic recurrence constant ⋮ Some new sequences and inequalities related to Euler's constant ⋮ Harmonic number expansions of the Ramanujan type ⋮ New sequences with continued fraction towards Euler's constant ⋮ Acceleration methods for series: a probabilistic perspective ⋮ Some new approximations and inequalities of the sequence \((1+1/n)^n\) and improvements of Carleman's inequality ⋮ Monotone and fast computation of Euler's constant ⋮ New quicker sequences and inequalities with continued fraction towards Euler's constant ⋮ Some quicker continued fraction approximations and inequalities towards Euler's constant ⋮ Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ Some new continued fraction estimates of the Somos' quadratic recurrence constant ⋮ Some sharp continued fraction inequalities for the Euler-Mascheroni constant

Cites Work

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• OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
• Very accurate estimates of the polygamma functions
• 75.9 Euler’s Constant

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