Optimal renewal of definite integrals of monotone functions from the class H ω
We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions f(t) monotone on [a, b] with a convex majorant of the modulus of continuity, provided that |f(b)−f(a)|=L>0.
KeywordsMonotone Function Exact Estimate Cubature Formula Strict Monotonicity Railway Transport
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