Opial's inequality for zero-area constraint
Autor: | Jochen Denzler |
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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 |
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