An upper estimate of error functional of the quadrature formulas with a symmetric boundary layer

  • Vasilyeva Evgeniya G., vasileg@mail.ru East Siberia State University of Technology and Management, 40v, Kluchevskaya st., Ylan-Ude, 670013 Russia
  • Tsyrenzhapov Nima B., nimac@mail.ru East Siberia State University of Technology and Management, 40v, Kluchevskaya st., Ylan-Ude, 670013 Russia
Keywords: estimate, error functional, quadrature formula

Abstract

In the article we obtain an upper estimate of error functional of the quadrature formulas with a symmetric boundary layer. We singled the constant in this estimate in an explicit form.

References

[1]Sobolev S. L., Cubature Formulas and Modern Analysis: An Introduction, Gordon and Breach, Montreux, 1974  mathscinet  mathscinet
[2]Shoinzhurov Ts. B., Estimation of the norm of an error functional of cubature formulas in various function spaces, Izdat. BNTs SO RAN, Ulan-Ude, 2005
How to Cite
Vasilyeva, E. and Tsyrenzhapov, N. (2018) “An upper estimate of error functional of the quadrature formulas with a symmetric boundary layer”, Mathematical notes of NEFU, 22(2), pp. 33-37. Available at: http://mzsvfu.ru/index.php/mz/article/view/an-upper-estimate-of-error-functional-of-the-quadrature-formulas-with-a-symmetric-boundary-layer (Accessed: 18July2019).
Section
Mathematics