Padé approximant related to inequalities for Gauss lemniscate functions

Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.

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Bibliographic Details
Published in:Journal of inequalities and applications 2016-12, Vol.2016 (1), p.1-16, Article 320
Main Authors: Liu, Juan, Chen, Chao-Ping
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Approximants
approximation
Inequalities
inequality
lemniscate functions
Mathematics
Mathematics and Statistics
Pade approximation
Sun
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Description
Summary:Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1262-2