Dunham Jackson

Dunham Jackson ( born July 24, 1888 in Bridgewater (Massachusetts ); † November 6, 1946 ) was an American mathematician, with real analysis ( approximation theory, orthogonal functions ) employed.

Jackson studied from 1904 at Harvard ( bachelor in 1908, Master 1909), among others, Maxime Bôcher, and then with a scholarship from 1909 to 1911 at the University of Göttingen. He received his doctorate in 1911 with Edmund Landau in Göttingen (On the accuracy of the approximation of continuous functions by entire rational functions given degree and trigonometric sums given order ). The work won a prize of Göttingen faculty, but was never published. He was from 1911 Instructor at Harvard and since 1916 Assistant Professor. In World War I he worked in the ballistics department of the U.S. Army with Forest Ray Moulton. From 1919 he was professor at the University of Minnesota in Minneapolis, where he stayed until his death. In his last years he was, however, already hampered by a severe heart attack in 1940 in his teaching.

Jackson's main area of ​​work was the approximation theory. A found in his dissertation he relationship between the modulus of continuity of a continuous function and the error of the best approximation by polynomials of fixed degree is now called set of Jackson or Jackson 's inequality. Also the ( also on him going back ) is so called analogue for periodic approximation of continuous functions by trigonometric polynomials. Jackson worked on with other mathematical fields, especially in later years, he worked on statistics.

In 1935, he received the Chauvenet Prize. In 1921, he was vice president of the American Mathematical Society Colloquium Lecturer of which he was in 1925. 1924 to 1925 he was Vice President and 1926 President of the Mathematical Association of America.

Jackson was married since 1918 and had two daughters.