"On cubature formulas exact for Haar polynomials in the case of two-variable functions satisfying the general Lipschitz condition"
Kirillov K.A.

A number of upper error estimates are obtained for the cubature formulas possessing the Haar d-property in the case of two-variable functions belonging to the Lip (L1,L2) classes and satisfying the general Lipschitz condition. It is shown that, on the classes under consideration, the errors of the minimal cubature formulas possessing the Haar d-property have the best convergence rate to zero.

Keywords: Haar d-property, errors of cubature formulas, Lip (L1,L2) classes of functions

Kirillov K.A., e-mail: kkirillov@rambler.ru – Siberian Federal University, Department of Applied Mathematics and Computer Security; ulitsa Kirenskogo 26, Krasnoyarsk, 660074, Russia