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单词 tauberian
释义

Tauberianadj.

/taʊˈbɪərɪən/
Etymology: < the name of Alfred Tauber (1866–1942), Slovak mathematician + -ian suffix.
Mathematics.
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.
ΘΚΠ
the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to
physico-mathematical1660
analytical1694
Bernoulli1749
analytic1761
Boolean1851
Sturmian1853
Bernoullian1876
Fermatian1887
Grassmannian1894
number-theoretic1899
Cantor1902
Cantorian1912
Tauberian1913
Thiessen1923
intuitionist1926
metamathematical1926
finitist1931
number-theoretical1936
finitistic1937
proof-theoretic1940
formalistic1941
Gödelian1942
constructivist1943
constructivistic1944
game-theoretical1946
game-theoretic1950
finitary1952
perturbation-theoretic1964
perturbation-theoretical1968
constructive1979
1913 Hardy & Littlewood in Proc. London Math. Soc. 11 411 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.
1962 D. 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.
1979 Nature 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.
This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018).
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adj.1913
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