A weighted Chebyshev’s order inequality
Wildon's Weblog 2018-08-02
Summary:
Let be non-negative weights and let , be non-negative numbers such that Then where the middle step follows from the inequality . In particular, if then we obtain This is a weighted version of Chebyshev’s order inequality. The weighted Chebychev’s order inequality appears (with a different proof) in an interesting article in MAA Mathematics Magazine, […]