| 释义 |
Tauberian, a. Math.|taʊˈbɪərɪən|
[f. the name of Alfred Tauber (1866–?1942), Slovak mathematician + -ian.]
Applied to theorems in which the behaviour in the limit of a series or function is deduced from a weaker limiting property together with some additional condition, esp. theorems in which convergence is deduced from summability.
1913Hardy & Littlewood in Proc. London Math. Soc. XI. 411 The general character of the theorems which it [sc. this paper] contains is ‘Tauberian’: they are theorems of the type whose first example was the beautiful converse of Abel's theorem originally proved by Tauber. 1962D. R. Cox Renewal Theory i. 14 A result of this type, enabling the limiting behaviour of k(x) to be deduced from that of k*(s), is called a Tauberian theorem. 1979Nature 24 May 358/1 Rau is well known and remembered for his valuable contributions to the theory of Tauberian theorems, function-theory and the theory of Dirichlet series. |