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
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spelling doaj-5579b5e856a34c40919ffc6a567757b92020-11-25T02:09:17ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-03-012016111010.1186/s13660-016-1035-ySome new continued fraction sequence convergent to the Somos quadratic recurrence constantXu You0Shouyou Huang1Di-Rong Chen2Department of Mathematics and Physics, Beijing Institute of Petrochemical TechnologySchool of Mathematics and Statistics, Hubei Normal UniversityDepartment of Mathematics, Wuhan Textile UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-016-1035-ySomos’ quadratic recurrence constantgeneralized Euler constantcontinued fractionmultiple-correction method
collection DOAJ
language English
format Article
sources DOAJ
author Xu You
Shouyou Huang
Di-Rong Chen
spellingShingle Xu You
Shouyou Huang
Di-Rong Chen
Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
Journal of Inequalities and Applications
Somos’ quadratic recurrence constant
generalized Euler constant
continued fraction
multiple-correction method
author_facet Xu You
Shouyou Huang
Di-Rong Chen
author_sort Xu You
title Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
title_short Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
title_full Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
title_fullStr Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
title_full_unstemmed Some new continued fraction sequence convergent to the Somos quadratic recurrence constant
title_sort some new continued fraction sequence convergent to the somos quadratic recurrence constant
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2016-03-01
description 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.
topic Somos’ quadratic recurrence constant
generalized Euler constant
continued fraction
multiple-correction method
url http://link.springer.com/article/10.1186/s13660-016-1035-y
work_keys_str_mv AT xuyou somenewcontinuedfractionsequenceconvergenttothesomosquadraticrecurrenceconstant
AT shouyouhuang somenewcontinuedfractionsequenceconvergenttothesomosquadraticrecurrenceconstant
AT dirongchen somenewcontinuedfractionsequenceconvergenttothesomosquadraticrecurrenceconstant
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