Opial's inequality for zero-area constraint

Autor: Jochen Denzler
Rok vydání: 2004
Předmět:
Zdroj: Mathematical Inequalities & Applications. :337-354
ISSN: 1331-4343
DOI: 10.7153/mia-07-36
Popis: We prove that 1 0 |yy| 1 4 1 0 y 2 provided 1 0 y = 0 . The nontrivial part is the sharp constant 1 . Cases of equality can be abstracted from the proof. This is an (apparently much deeper) variant of a result by Opial, who proved the same estimate under Dirichlet boundary conditions on y.
Databáze: OpenAIRE