engleski

A representation of the Peano kernel for some quadrature rules and applications

A general interpolating formula is established. From this formula all Newton-Cotes quadrature rules of the closed type can be derived. Some corrected interpolating polynomials are also derived and used for obtaining corresponding quadrature rules. A new effective representation of the Peano kernel is derived. Estimation of errors for these quadrature rules is established.

Peano kernel; representation; quadrature rules; applications

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