2017
Том 69
№ 9

All Issues

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

Didenko V. D., Korenovskii A. A., Tuah N. J.


Abstract

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.

Citation Example: Didenko V. D., Korenovskii A. A., Tuah N. J. Numerical interpretation of the Gurov – Reshetnyak inequality on the real line // Ukr. Mat. Zh. - 2016. - 68, № 12. - pp. 1607-1619.