Some new sequences that converge to the Ioachimescu constant

DOI10.1186/S13660-016-1089-XzbMath1369.40001OpenAlexW2415944353WikidataQ59467139 ScholiaQ59467139MaRDI QIDQ295000

Hong Shi, Di-Rong Chen, Xu You

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1089-x

zbMATH Keywords

rate of convergenceapproximationmultiple-correction methodIoachimescu constant

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Continued fraction inequalities for the Euler-Mascheroni constant
• Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
• Some new sequences that converge to a generalized Euler constant
• Multiple-correction and continued fraction approximation
• Sequences that converge quickly to a generalized Euler constant
• Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant
• On new sequences converging towards the Euler-Mascheroni constant
• Multiple-correction and continued fraction approximation. II
• Some new quicker convergences to Glaisher-Kinkelin's and Bendersky-Adamchik's constants
• Multiple-correction and faster approximation
• A topological property of the common fixed points set of two multivalued operators
• Product Approximations via Asymptotic Integration
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