The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions

Authors

  • О. М. Литвин Ukrainian Engineering and Pedagogical Academy, Ukraine
  • О. П. Нечуйвітер Ukrainian Engineering and Pedagogical Academy, Ukraine

Abstract

Cubature formulas of the calculation of Fourier's coefficients of two variables are considered by using operators of piecewise spline-interlineation in the case when information about function is set of lines, set of knots on one class of differentiable functions. The estimations of error of approaching of the cubature formulas are presented

Author Biographies

О. М. Литвин, Ukrainian Engineering and Pedagogical Academy

Doctor of Physical and Mathematical Sciences

О. П. Нечуйвітер, Ukrainian Engineering and Pedagogical Academy

PhD

Published

2016-11-04

Issue

Section

Applied mathematics