# Mathematician:Sergei Natanovich Bernstein

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## Contents

## Mathematician

Russian mathematician known for contributions to partial differential equations, differential geometry, probability theory, and approximation theory

Not to be confused with Felix Bernstein.

## Nationality

Russian

## History

- Born: 5 March 1880 in Odessa, Ukraine
- Died: 26 October 1968 in Moscow, USSR

## Theorems and Definitions

- Bernstein's Inequality (Mathematical Analysis)
- Bernstein Inequalities (Probability Theory)
- Bernstein's Lethargy Theorem
- Bernstein's Theorem (Approximation Theory)
- Bernstein's Theorem (Monotone Functions)
- Bernstein's Theorem on Unique Global Solution to y''=F(x,y,y')
- Bernstein-von Mises Theorem (with Richard Edler von Mises)

Results named for **Sergei Natanovich Bernstein** can be found here.

Definitions of concepts named for **Sergei Natanovich Bernstein** can be found here.

## Publications

- 1912:
*Sur les équations du calcul des variations*("On the equations of the calculus of variations") (*Ann. Sci. École Norm. Sup.***Vol. 29**: pp. 431 – 485)

- 1946:
*The Theory of Probabilities*

## Also known as

In Russian: **Серге́й Ната́нович Бернште́йн**

**Sergei Bernstein'**s name is often transliterated as **Bernshtein** and, just occasionally, as **Bernshteyn**.

His first name is sometimes rendered **Serge**.