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Monotonicity rule for the quotient of two functions and its application

Monotonicity rule for the quotient of two functions and its application

In the article, we provide a monotonicity rule for the function [Formula: see text], where [Formula: see text] is a positive differentiable and decreasing function defined on [Formula: see text] ([Formula: see text]), and [Formula: see text] and [Formula: see text] are two real power series converging on [Formula: see …