Accuracy-optimal algorithm for solution of one problem of numerical integration

We study optimally exact algorithms for calculation of integrals of certain quickly oscillating functions. We construct an optimally exact passive algorithm for a class of functions with a known number of extrema.

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Bibliographic Details
Date:1991
Main Authors: Zadiraka , V. K., Abatov , N. T., Задирака , В. К., Абатов , Н. Т.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9305
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We study optimally exact algorithms for calculation of integrals of certain quickly oscillating functions. We construct an optimally exact passive algorithm for a class of functions with a known number of extrema.