Estimation of the rate of decrease (vanishing) of a function in terms of relative oscillations

  • A. A. Korenovskii Одес. нац. ун-т им. И. И. Мечникова, Ин-т математики, экономики и механики


The relative mean integral oscillations of a nondecreasing equimeasurable rearrangement are estimated from above via the same oscillations of the original function. On the basis of this estimate, we establish a lower order-exact estimate for the rate of decrease (vanishing) of the rearrangement.
How to Cite
Korenovskii, A. A. “Estimation of the Rate of Decrease (vanishing) of a Function in Terms of relative oscillations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 2, Feb. 2019, pp. 246-60,
Research articles