In mathematics, Schur's inequality, named after Issai Schur, establishes that for all non-negative real numbers x, y, z, and t>0,. |
Schur's Inequality is an inequality that holds for positive numbers. It is named for Issai Schur. Contents. [hide]. |
Sommario. This is a study of the classical Schur's Inequality (not Vornicu-Schur) and it's various forms and implications. 1 Schur's Inequality. Issai Schur ... |
Schur's inequality is a classical inequality that relates three non-negative real numbers. |
If p > 0 and x, y, z are all positive, then f(x, y, 2; p)=xF(x-y)(x-z)+yP(y-z)(y-x)+zfi(z-x)(z-y)>O, with equality occurring when and only when x = y = z. |
There is a surprising inequality with an instructive one-line proof: For non-negative real numbers x, y, z and a positive number t, x^t(xy)(xz)+y^t(yz)(yx)+z |
Некоторые результаты поиска могли быть удалены в соответствии с местным законодательством. Подробнее... |
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