Open AccessOn the problem of mutual deviation of certain quadrature sums of interpolation type
Author(s) -
V. L. Velikin
Publication year - 2012
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241212
Subject(s) - mathematics , quadrature (astronomy) , clenshaw–curtis quadrature , gauss–kronrod quadrature formula , tanh sinh quadrature , interpolation (computer graphics) , gauss–hermite quadrature , mathematical analysis , type (biology) , gauss–laguerre quadrature , gauss–jacobi quadrature , gaussian quadrature , nyström method , integral equation , computer science , physics , optics , animation , ecology , computer graphics (images) , biology
We obtained efficient computational formulae for quadrature sums that are optimal with respect to coefficients for arbitrary distribution of knots for certain classes of differentiable functions. Based on this, we found exact values of mutual deviation of interpolatory type quadrature sums.