Sergei Bernstein was a Ukrainian mathematician who made important contributions to partial differential equations, differential geometry, probability theory and approximation theory. He was born in Odessa, then in the Russian Empire (now Odesa, Ukraine), on 5 March 1880 and died in Moscow on 26 October 1968. The Bernstein polynomials, the Bernstein inequality in analysis and the theorem on absolutely monotone functions that carries his name are credited to him.
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Source Sergei Bernstein, Biography (MacTutor History of Mathematics)
Source Sergei Bernstein, Biography (MacTutor History of Mathematics)
Source Sergei Bernstein, Biography (MacTutor History of Mathematics)
Source Sergei Bernstein, Biography (MacTutor History of Mathematics)
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Source Bernstein's Theorem on Monotone Functions (Wikipedia)
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Source Sergei Bernstein, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Sergei Bernstein was a Ukrainian mathematician who made important contributions to partial differential equations, differential geometry, probability theory and approximation theory.
Sources
1. Sergei Bernstein, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Sergei Bernstein was a Ukrainian mathematician who made important contributions to partial differential equations, differential geometry, probability theory and approximation theory.
Bernstein's Theorem on Monotone Functions (Wikipedia)
Proofs Credited: Bernstein's Theorem on Monotone Functions, LeadQuote, Proofs Credited: Bernstein's Theorem on Monotone Functions, Lead
In real analysis, a branch of mathematics, Bernstein's theorem, named after Sergei Bernstein, states that every real-valued function on the half-line [0, ∞) that is completely monotone is a mixture of exponential functions or in more abstract language, that it is the Laplace transform of a positive Borel measure on [0, ∞)
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