XVIII.—On the Consistency of Cardinal Function Interpolation. Parts I, II

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Abstract
In a previous paper on the Cardinal Function it was proved that, calling the cardinal function of the table of values α r at the point α + rw], “the cardinal function of the table of values [C(rw′) at the point rw′] is a function C1(x) which coincides with C(x) provided that 0<w′<w, and Σ | α n /n |, Σ |α −n /n| are convergent.”