Evgeny Yakovlevich Remez
Encyclopedia
Evgeny Yakovlevich Remez (sometimes spelled as Evgenii Yakovlevich Remez, ; (born 1896 in Mstislavl, now Belarus
; died 1975 in Kiev
) was a Soviet mathematician
. He is known for his work in the constructive function theory
, in particular, for the Remez algorithm
and the Remez inequality
.
Belarus
Belarus , officially the Republic of Belarus, is a landlocked country in Eastern Europe, bordered clockwise by Russia to the northeast, Ukraine to the south, Poland to the west, and Lithuania and Latvia to the northwest. Its capital is Minsk; other major cities include Brest, Grodno , Gomel ,...
; died 1975 in Kiev
Kiev
Kiev or Kyiv is the capital and the largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population as of the 2001 census was 2,611,300. However, higher numbers have been cited in the press....
) was a Soviet mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
. He is known for his work in the constructive function theory
Constructive function theory
In mathematical analysis, constructive function theory is a field which studies the connection between the smoothness of a function and its degree of approximation. It is closely related to approximation theory. The term was coined by Sergei Bernstein....
, in particular, for the Remez algorithm
Remez algorithm
The Remez algorithm , published by Evgeny Yakovlevich Remez in 1934 is an iterative algorithm used to find simple approximations to functions, specifically, approximations by functions in a Chebyshev space that are the best in the uniform norm L∞ sense.A typical...
and the Remez inequality
Remez inequality
In mathematics, the Remez inequality, discovered by the Ukrainian mathematician Evgeny Yakovlevich Remez , gives a bound on the sup norms of certain polynomials, the bound being attained by the Chebyshev polynomials.-The inequality:...
.