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

  • V. D. Didenko
  • A. A. Korenovskii Одес. нац. ун-т им. И. И. Мечникова, Ин-т математики, экономики и механики
  • N. J. Tuah

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.
Published
25.12.2016
How to Cite
DidenkoV. D., KorenovskiiA. A., and TuahN. J. “Numerical Interpretation of the Gurov – Reshetnyak inequality on the Real Line”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 12, Dec. 2016, pp. 1607-19, http://umj.imath.kiev.ua/index.php/umj/article/view/1947.
Section
Research articles