On the General Hermite Cardinal Interpolation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1972Publisher:JSTORJournal:Mathematics of Computation, volume 26, page 925 (issn: 0025-5718,

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Authors: Kress, Rainer;

doi: 10.2307/2005877 , 10.1090/s0025-5718-1972-0320586-6

On the General Hermite Cardinal Interpolation

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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 ∫ − ∞ ∞ f ( x ) d x \int _{ - \infty }^\infty {f(x)dx} is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae.

Keywords

Moment problems and interpolation problems in the complex plane, Interpolation in approximation theory, Approximate quadratures

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