Dunham Jackson 1888-1946

Jackson on Approximation 501 Dunham Jackson on Approximation

The Theory of Approximation. By Dunham Jackson. New York (American Mathematical Society Colloquium Publications, Volume 11), published by this Society, 1930. v+178 pp. In 1885 Weierstrass announced his now famous theorem: Any continuous function j•(#)> defined over a finite interval (a, b), can be approximated in (a, b) uniformly and indefinitely by a sequence of polynomials Pn(x), whose degree...

The Geometry of Frequency Functions* by Dunham Jackson

On a Tensor of T H E Second Rank in Function Space* by Dunham Jackson

The occurrence of the exponent 2/ra, where 1/m is found in the case of functions of a single variable, is due to the fact that the magnitude of an interval of length \/n is replaced in the course of the present reasoning by the area of a square having a quantity of the order of 1/n for the length of its side. This result is significant only if w > 2 , since otherwise the condition as stated req...

On Certain Problems of Approximation in T H E Complex Domain* by Dunham Jackson

When the paper with the above title was presented to the Society, I expected to publish it within a short time, and put on record at the moment only a brief abstract giving no very specific indication as to the results obtained. But the publication was delayed, and meanwhile J. L. Walsh,t working quite independently, has treated problems of similar character by a different method, and has given...

James Taylor (1859-1946): favourite disciple of Hughlings Jackson and William Gowers.

In neurological circles today the name James Taylor (1859-1946) is probably remembered mainly for his role in editing the Selected Writings of John Hughlings Jackson, the most readily available source of Jackson's contributions to neurological knowledge. Taylors' own neurological achievements are largely or entirely forgotten, but in his day he was an influential figure whose career linked the ...