Evgeny Yakovlevich Remez [SEP] occupation
Evgeny Yakovlevich Remez
Evgeny Yakovlevich Remez (sometimes spelled as Evgenii Yakovlevich Remez, ; (born 1895 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.
His doctoral students include Boris Korenblum.
References.
- V K Dzyadyk, Yu A Mitropol'skii and A M Samoilenko, Evgenii Yakovlevich Remez (on the centenary of his birth) (Ukrainian), Ukrain
Remez algorithm
The Remez algorithm or Remez exchange 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 example of a Chebyshev space is the subspace of Chebyshev polynomials of order "n" in the space of real continuous functions on an interval, "C"["a", "b"]. The polynomial of best approximation within a given