New Upper and Lower Bounds for the Čebyšev Functional
نویسنده
چکیده
New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stieltjes integral. A refinement of the classical Čebyšev inequality is produced for f monotonic non-decreasing, g continuous and M (g; t, b) −M (g; a, t) ≥ 0, for t ∈ [a, b] where M (g; c, d) is the integral mean over [c, d] .
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تاریخ انتشار 2002