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论文类型：期刊论文

发表时间：2017-05-01

发表刊物：RAMANUJAN JOURNAL

收录刊物：SCIE

卷号：43

期号：1

页面范围：69-82

ISSN号：1382-4090

关键字：Polynomial approximation; Continued fraction; Constant e; Carleman's inequality; Double inequalities

摘要：In this paper, using the polynomial approximation and the continued fraction approximation, we present some sharp inequalities for the sequence and some applications to Carleman's inequality. For demonstrating the superiority of our new inequalities over the classical one, some proofs and numerical computations are provided.