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Evgeny Remez was educated in Kiev University graduating in 1924. He taught at various institutions in Kiev for most of his life. He worked at the Pedagogical Institute from 1933 to 1955 and he became a professor at Kiev University in 1935. He also worked at the Institute of Mathematics of the Ukranian Academy of Sciences in Kiev from 1935 until his death in 1975.
His main work was on the constructive theory of functions and approximation theory. In the mid 1930s, he developed general computational methods of Chebyshev approximation and the Remez algorithm which allows uniform approximation. It constructs, with prescribed degree of exactness, a polynomial of the best Chebyshev approximation for a given continuous function. A similar algorithm was later developed which allowed rational approximation of continuous functions defined on an interval.
Remez generalised Chebyshev-Markov characterisation theory and used it to obtain approximate solutions of differential equations. He proved results about bounded polynomials and created general operator methods of sequence approximation. He also worked on approximate solutions of differential equations and the history of mathematics.
Remez received many honours for his achievements including election to the Academy of Sciences of the Ukraine in 1939.
Article by: J J O'Connor and E F Robertson
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