Dunham Jackson
Encyclopedia
Dunham Jackson was a mathematician who worked within approximation theory
, notably with trigonometrical
and orthogonal polynomials
. He is known for Jackson's inequality
. He was awarded the Chauvenet Prize
in 1935. His book Fourier Series
and Orthogonal Polynomials (dated 1941) was reprinted in 2004.
Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby...
, notably with trigonometrical
Trigonometric polynomial
In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin and cos with n a natural number. The coefficients may be taken as real numbers, for real-valued functions...
and orthogonal polynomials
Orthogonal polynomials
In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical polynomials, the Chebyshev polynomials, and the...
. He is known for Jackson's inequality
Jackson's inequality
In approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the modulus of continuity of its derivatives...
. He was awarded the Chauvenet Prize
Chauvenet Prize
The Chauvenet Prize is the highest award for mathematical expository writing. It consists of a prize of $1,000 and a certificate, and is awarded yearly by the Mathematical Association of America in recognition of an outstanding expository article on a mathematical topic. The prize is named in...
in 1935. His book Fourier Series
Fourier series
In mathematics, a Fourier series decomposes periodic functions or periodic signals into the sum of a set of simple oscillating functions, namely sines and cosines...
and Orthogonal Polynomials (dated 1941) was reprinted in 2004.
External links
- Dunham Jackson at the Mathematics Genealogy Project.
- Jackson's photo at Mathematical Association of AmericaMathematical Association of AmericaThe Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
site. - Another (bigger one) photo of Jackson at History of Approximation Theory site.
