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On a ratio monotonicity conjecture of a new kind of numbers

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It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined… Click to show full abstract

It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W. Sun, we completely solve a conjecture on ratio monotonicity by him.

Keywords: monotonicity; conjecture new; new kind; monotonicity conjecture; ratio monotonicity

Journal Title: Journal of Inequalities and Applications
Year Published: 2018

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