Journal of Siberian Federal University. Engineering & Technologies / On Exactness of Cubature Formulas in S. L. Sobolev Spaces

Full text (.pdf)
Issue
Journal of Siberian Federal University. Engineering & Technologies. 2009 2 (1)
Authors
Polovinkin, Vladimir I.
Contact information
Polovinkin, Vladimir I. 79 Svobodny, Krasnoyarsk, 660041 Russia
Keywords
cubature formulae; error funtionals; Lm p spaces; approximate calculation of integrals
Abstract

It is established conditions which are necessary and sufficient in order that error functionals of cubature formulas will be limited in spaces Lm p ; corresponding to considered sets of integrable functions, defined on limited subsets of cylindrical and conal surfaces.

Pages
59-68
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1275

Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).