Abstract
In the article, the author gets to the bottom of the origin of Polya’s integral inequality, plots out the development of the theory of inequalities, collects variants and proofs of Polya’s integral inequality, surveys Iyengar-Mahajani’s, Agarwal-Dragomir’s, Cerone-Dragomir’s, and Qi’s refinements, generalizations, and applications of Polya’s integral inequality, and find equivalences between these integral inequalities.
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