Inequalities for Continued Fractions, II

TL;DR

This paper explores the monotonicity and inequalities of a specific class of continued fractions, providing new bounds and properties relevant to their mathematical behavior.

Contribution

It introduces new inequalities for relative continued fractions and analyzes their monotone properties with respect to parameters m and λ.

Findings

Established monotonicity of continued fractions G(m,λ)

Derived new inequalities for relative continued fractions

Enhanced understanding of parameter-dependent behavior

Abstract

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