The Generalization of the Product Inequality
Ai-Ping Ji
Abstract
Ai-Ping Ji
Abstract
The arithmetic-geometric mean inequality has a wide application in the proof of the inequality.In the paper,based on the given paper(1), the result of the product inequality is generalized for many times by applying the arithmetic-geometric mean inequality.Then,we derive a more general inequality than the original inequality.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The arithmetic-geometric mean inequality has a wide application in the proof of the inequality.In the paper,based on the given paper(1), the result of the product inequality is generalized for many times by applying the arithmetic-geometric mean inequality.Then,we derive a more general inequality than the original inequality.
Key concepts: Bernoulli's inequality, Inequality of arithmetic and geometric means, Log sum inequality, Ky Fan inequality, Rearrangement inequality, Mathematics, Kantorovich inequality, Inequality