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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.