Carleman's inequality [SEP] named after
Carleman's inequality
Carleman's inequality is an inequality in mathematics, named after Torsten Carleman, who proved it in 1923 and used it to prove the Denjoy–Carleman theorem on quasi-analytic classes.
Statement.
Let "a", "a", "a", ... be a sequence of non-negative real numbers, then
The constant "e" in the inequality is optimal, that is, the inequality does not always hold if "e" is replaced by a smaller number.
List of inequalities
This page lists Wikipedia articles about named mathematical inequalities.
Inequalities in pure mathematics.
Inequalities in pure mathematics Analysis.
- Agmon's inequality
- Askey–Gasper inequality
- Babenko–Beckner inequality
- Bernoulli's inequality
- Bernstein's inequality (mathematical analysis)
- Bessel's inequality
- Bihari–LaSalle inequality
- Bohnenblust–Hille inequality
- Borell–Brascamp–Lieb inequality
- Brezis–Gallouet inequality
- Carleman's inequality
- Chebyshev–Markov–Stieltjes