Stieltjes integraln.

/ˈstiːltʃəz/

Etymology: < the name of Thomas-Jan Stieltjes (1856–94), Dutch-born French mathematician, who first considered such integrals in 1894 ( Ann. de la Faculté des Sci. de Toulouse VIII. j.2).

Mathematics.

A definite integral in which the value of a function is summed, not uniformly over an interval, but in accordance with some other function which assigns weightings continuously or discontinuously within the interval.

ΘΚΠ

the world > relative properties > number > calculus > [noun] > integral calculus > integration or integrability > integral

fluent1706

integral1728

gamma function1834

surface integral1867

Riemann integral1894

Cauchy's integral1898

Lebesgue integral1905

Stieltjes integral1914

convolution1934

1910 H. Lebesgue in Compt. Rend. CL. 86 On dé signe sous le nom d'integrale de Stieltjes..l'opération fonctionnelle faisant correspondre à f(x) un nombre défini de la façon suivante.]

1914 Proc. London Math. Soc. 13 131 The definition of the integral of a continuous function with respect to a monotone increasing function given by Stieltjes..is defined to be the Stieltjes integral.

1952 J. C. C. McKinsey Introd. Theory Games ix. 169 Since the Stieltjes integral is defined by means of a complicated limiting process, it should not be an occasion for surprise that it does not always exist.

1980 A. J. Jones Game Theory 276 Technically we are using Stieltjes integrals here.

This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018).

单词	stieltjes integral
释义	Stieltjes integraln. /ˈstiːltʃəz/ Etymology: < the name of Thomas-Jan Stieltjes (1856–94), Dutch-born French mathematician, who first considered such integrals in 1894 ( Ann. de la Faculté des Sci. de Toulouse VIII. j.2). Mathematics. A definite integral in which the value of a function is summed, not uniformly over an interval, but in accordance with some other function which assigns weightings continuously or discontinuously within the interval. ΘΚΠ the world > relative properties > number > calculus > [noun] > integral calculus > integration or integrability > integral fluent1706 integral1728 gamma function1834 surface integral1867 Riemann integral1894 Cauchy's integral1898 Lebesgue integral1905 Stieltjes integral1914 convolution1934 1910 H. Lebesgue in Compt. Rend. CL. 86 On dé signe sous le nom d'integrale de Stieltjes..l'opération fonctionnelle faisant correspondre à f(x) un nombre défini de la façon suivante.] 1914 Proc. London Math. Soc. 13 131 The definition of the integral of a continuous function with respect to a monotone increasing function given by Stieltjes..is defined to be the Stieltjes integral. 1952 J. C. C. McKinsey Introd. Theory Games ix. 169 Since the Stieltjes integral is defined by means of a complicated limiting process, it should not be an occasion for surprise that it does not always exist. 1980 A. J. Jones Game Theory 276 Technically we are using Stieltjes integrals here. This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018). < n.1914
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