On the general Hermite cardinal interpolation

Kreß, R.

doi:10.1090/S0025-5718-1972-0320586-6

On the general Hermite cardinal interpolation
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Math. Comp. 26 (1972), 925-933 Request permission

Abstract:

A sequence of interpolation series is given which generalizes Whittaker’s cardinal function to the case of Hermite interpolation. By integrating the interpolation series, a sequence of new quadrature formulae for $\int _{ - \infty }^\infty {f(x)dx}$ is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae.

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