A numerical point of view at the Gurov-Reshetnyak inequality on the real line

A "norm" of power function in the Gurov-Reshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semi-axis to the whole real line in the Gurov-Reshetnyak class is obtained from numerical experiments.

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Bibliographic Details
Published inarXiv.org
Main Authors Didenko, Victor D, Korenovskyi, Anatolii A, Tuah, Nor Jaidi
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.09.2016
Subjects
Lower bounds
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Summary:A "norm" of power function in the Gurov-Reshetnyak class on the real line is computed. Moreover, a lower bound for the norm of the operator of even extension from the semi-axis to the whole real line in the Gurov-Reshetnyak class is obtained from numerical experiments.
ISSN:2331-8422