Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications

Feng Qi

Pólya's integral inequality Iyengar-Mahajani's integral inequality Agarwal-Cerone-Dragomir's integral inequality Qi's integral inequality equivalent relation Steffensen's inequality Hayashi's integral inequality Rolle's mean value theorem Lagrange's mean value theorem Taylor's mean value theorem with Lagrange's remainder convex function mean complete elliptic integral geometric proof analytic proof history journal

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