Error Inequalities in Polynomial Interpolation and Their Applications Rutilius Taurus Aemilianus die mir die Deutsche Forschungsgemeinschaft

die mir die Deutsche Forschungsgemeinschaft fur die Jahre 1951 bis 1954 genehmigte

at lærebøger i matematik indfletter lidt spredte bemærkninger af matematikhistorisk karakter

Juliane Andersdatter og Peder Langballe Iversen

Das Privatrecht

Anteile an Kapitalgesellschaften

Error Inequalities in Polynomial Interpolation and Their Applications Rutilius Taurus Aemilianus die mir die Deutsche ForschungsgemeinschaftGiven a function x(t) E c{n) [a, bj, points a = al < a2 < . . . < ar = b and subsets aj of {0,1,"',n 1} with L: j=lcard(aj) = n, the classical interpolation problem is to find a polynomial P (t) of degree at most (n 1) n l such that P~~l(aj) = x{i)(aj) for i E aj, j = 1,2,"" r. In the first four chapters of this monograph we shall consider respectively the cases: the Lidstone interpolation (a = 0, b = 1, n = 2m, r = 2, al = a2 = {a, 2"", 2m 2}), the