TY - JOUR A1 - Diethelm, Kai T1 - Peano kernels of non-integer order T2 - Zeitschrift für Analysis und ihre Anwendungen N2 - We consider the representation of error functionals in numerical quadrature by the Peano kernel method. It is easily observed that the usual expressions for Peano kernels of order s still make sense if s is not a natural number. In this paper, we discuss how to interpret these Peano kernels, we state their main properties, and we compare them to the (classical) Peano kernels of integer order. Y1 - 1997 UR - https://opus4.kobv.de/opus4-fhws/frontdoor/index/index/docId/3092 VL - 16 IS - 3 SP - 727 EP - 738 ER -