Some new continued fraction sequence convergent to the Somos quadratic recurrence constant

Some new continued fraction sequence convergent to the Somos quadratic recurrence constant

Abstract In this paper, we provide some new continued fraction approximation and inequalities of the Somos quadratic recurrence constant, using its relation with the generalized Euler constant.

Bibliographic Details
Main Authors: Xu You, Shouyou Huang, Di-Rong Chen
Format: Article
Language:English
Published: SpringerOpen 2016-03-01
Series:Journal of Inequalities and Applications
Subjects:
Somos’ quadratic recurrence constant
generalized Euler constant
continued fraction
multiple-correction method
Online Access:http://link.springer.com/article/10.1186/s13660-016-1035-y
Description
Summary:Abstract In this paper, we provide some new continued fraction approximation and inequalities of the Somos quadratic recurrence constant, using its relation with the generalized Euler constant.
ISSN:1029-242X

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