Chebyshev's theorem
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Chebyshev's theorem is any of several theorems proven by Russian mathematician Pafnuty Chebyshev.
- Bertrand's postulate, that for every n there is a prime between n and 2n.
- Chebyshev's inequality, on the range of standard deviations around the mean, in statistics
- Chebyshev's sum inequality, about sums and products of decreasing sequences
- Chebyshev's equioscillation theorem, on the approximation of continuous functions with polynomials
- The statement that if the function <math display=inline>\pi(x)\ln x/x</math> has a limit at infinity, then the limit is 1 (where Template:Pi is the prime-counting function). This result has been superseded by the prime number theorem.