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

Xu You; Shouyou Huang; Di Rong Chen

doi:10.1186/s13660-016-1035-y

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

Xu You^*
, Shouyou Huang
, Di Rong Chen

^*此作品的通讯作者

数学科学学院

Beijing Institute of Petrochemical Technology
Hubei Normal University
Wuhan Textile University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
文章编号	91
期刊	Journal of Inequalities and Applications
卷	2016
期	1
DOI	https://doi.org/10.1186/s13660-016-1035-y
出版状态	已出版 - 1 12月 2016

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title = "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.",

keywords = "Somos{\textquoteright} quadratic recurrence constant, continued fraction, generalized Euler constant, multiple-correction method",

author = "Xu You and Shouyou Huang and Chen, \{Di Rong\}",

note = "Publisher Copyright: {\textcopyright} 2016, You et al.",

year = "2016",

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doi = "10.1186/s13660-016-1035-y",

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T1 - Some new continued fraction sequence convergent to the Somos quadratic recurrence constant

AU - You, Xu

AU - Huang, Shouyou

AU - Chen, Di Rong

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - Somos’ quadratic recurrence constant

KW - continued fraction

KW - generalized Euler constant

KW - multiple-correction method

UR - https://www.scopus.com/pages/publications/84960873494

U2 - 10.1186/s13660-016-1035-y

DO - 10.1186/s13660-016-1035-y

M3 - 文章

AN - SCOPUS:84960873494

SN - 1025-5834

VL - 2016

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 91

ER -

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

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