Remez inequality [SEP] named after
Remez inequality
In mathematics, the Remez inequality, discovered by the Soviet mathematician Evgeny Yakovlevich Remez , gives a bound on the sup norms of certain polynomials, the bound being attained by the Chebyshev polynomials.
The inequality.
Let σ be an arbitrary fixed positive number. Define the class of polynomials π(σ) to be those polynomials "p" of the "n"th degree for which
on some set of measure ≥ 2 contained in the closed interval [−1, 1+σ]. Then the Remez inequality states that
Prékopa–Leindler inequality
- Rayleigh–Faber–Krahn inequality
- Remez inequality
- Riesz rearrangement inequality
- Schur test
- Shapiro inequality
- Sobolev inequality
- Steffensen's inequality
- Szegő inequality
- Three spheres inequality
- Trace inequalities
- Trudinger's theorem
- Turán's inequalities
- Von Neumann's inequality
- Wirtinger's inequality for functions
- Young's convolution inequality
- Young's inequality for products
Inequalities in pure mathematics Analysis Inequalities relating to means.
- Hardy–