Open AccessOn asymptotically optimal cubatures for multidimensional Sobolev spaces
Author(s) -
В. Ф. Бабенко,
Yu. V. Babenko,
Oleg Kovalenko
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/242106
Subject(s) - sobolev space , mathematics , pure mathematics , mathematical analysis
We find an asymptotically optimal method of recovery of the weighted integral for the classes of multivariate functions that are defined via restrictions on their (distributional) gradient.