إذا توفر:formula_1:formula_2:formula_3:formula_4:formula_2:formula_6==البرهان ==:formula_7The two sequences are non-increasing, therefore and have the same sign for any .
In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if:formula_1and:formula_2then:formula_3Similarly, if:formula_4and:formula_2then:formula_6==Proof==Consider the sum:formula_7The two sequences are non-increasing, therefore and have the same sign for any .