ABSTRACT

Theorem 13.2 [20]: Let f be a bounded function that is integrable on [a, b], let further m ϕ and M ϕ be the minimum and maximum values of the function ϕ(t) = ∫ a b f ( τ ) d τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429489211/b92fa297-e1f1-48d1-8b2a-eb0fa6ba8aab/content/inline307_1.tif"/> on [a, b]. If a function g(t) is non-increasing with g(t) ≥ 0 on [a, b]. then there is a number Λ ∈ [mϕ, Mϕ] such that