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Ukrainian Mathematical Journal

, Volume 49, Issue 8, pp 1135–1139 | Cite as

Optimal renewal of definite integrals of monotone functions from the class H ω

  • T. N. Busarova
Article

Abstract

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.

Keywords

Monotone Function Exact Estimate Cubature Formula Strict Monotonicity Railway Transport 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • T. N. Busarova

There are no affiliations available

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