Haifeng Liu
Abstract
A new proof of an integral mean value inequality is given by lifting the dimension of the variable space.The original inequality is generalized to a new inequality in a symmetry form.It is proved also that the new inequality is equivalent to the decreasingness of the related function.
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A new proof of an integral mean value inequality is given by lifting the dimension of the variable space.The original inequality is generalized to a new inequality in a symmetry form.It is proved also that the new inequality is equivalent to the decreasingness of the related function.
Key concepts: Mathematics, Log sum inequality, Kantorovich inequality, Rearrangement inequality, Inequality, Ky Fan inequality, Hölder's inequality, Bernoulli's inequality