On Birkhoff quadrature formulas

Varma, A. K.

doi:10.1090/S0002-9939-1986-0831383-9

On Birkhoff quadrature formulas
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by A. K. Varma PDF

Proc. Amer. Math. Soc. 97 (1986), 38-40 Request permission

Abstract:

In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of ${\prod _n}\left ( x \right )$ as defined by (1.2). The proof given earlier was quite long. The object of this paper is to provide a proof of this quadrature formula which is extremely simple and indeed does not even require the use of fundamental polynomials of (0,2) interpolation.

References

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Notes on interpolation

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