Numerical interpretation of the Gurov – Reshetnyak inequality on the real line

We find the “norm” of a power function in the Gurov – Reshetnyak class on the real line. Moreover, as a result of numerical experiments, we establish a lower bound for the norm of the operator of even extension from the semiaxis onto the entire real line in the Gurov – Reshetnyak class.

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Bibliographic Details
Date:2016
Main Authors: Didenko, V. D., Korenovskii, A. A., Tuah, N. J., Диденко, В. Д., Кореновский, А. А., Туа, Н. Д.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1947
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal