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Inequalities for Continued Fractions, II

2010/12/19 by Zaizhao Meng, Meng, Zaizhao
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1012.4219

openalex publication_date 2010/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the monotone property of the continued fractions G(m,λ) as a function of m and λ. In particular, we obtain new inequality for the relative continued fractions.

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