Journal of Siberian Federal University. Mathematics & Physics: On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials

Journal of Siberian Federal University. Mathematics & Physics / On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (3)
Authors: Kirillov, Kirill A.
Contact information: Kirillov, Kirill A.: Institute of Space and Information Technologies, Siberian Federal University, Kirenskogo, 26, Krasnoyarsk, 660074 Russia; e-mail:
Keywords: Haar d-property; error functional of a quadrature formula; function spaces Sp
Abstract: On the spaces Sp, estimates are found for the norm of the error functional of weighted quadrature formulas. For quadrature formulas exact for constants a lower estimate of �δN � ∗ is proved, and for p quadrature formulas possessing the Haar d-property upper estimates of the �δN � ∗ are obtained. p
Pages: 298-307
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/9881