On asymptotically optimal cubatures for multidimensional Sobolev spaces

V. F. Babenko, Oles Honchar Dnipro National University
Y. V. Babenko, Kennesaw State University
O. V. Kovalenko, Oles Honchar Dnipro National University

Abstract

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.