On the problem of mutual deviation of certain quadrature sums of interpolation type

V.L. Velikin

doi:10.15421/241212

On the problem of mutual deviation of certain quadrature sums of interpolation type

V.L. Velikin (Oles Honchar Dnipropetrovsk National University)

Abstract

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.

Keywords

quadrature sums; spline; interpolation

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References

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Velikin V.L., Korneichuk N.P. "Exact values of approximation by spline-functions on classes of differentiable functions", Matem. zametki, 1971; 9(5): pp. 483-494. (in Russian) doi:10.1007/BF01094352

Velikin V.L. "Hermitian splines and quadrature formulas for certain classes of differentiable functions, related to them", Izvestiya VUZov. Matematika, 1976; 168(5): pp. 15-28. (in Russian)

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