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• W2518442835 abstract "This study aimed to determine the best constants in the Wirtinger inequality [Formula: see text] where [Formula: see text] is defined on [Formula: see text] with [Formula: see text]. First, we referred the computation of [Formula: see text] to the maximal eigenvalue of an integral type operator [Formula: see text]. Second, we proved that the computation of the eigenvalues of [Formula: see text] is equivalent to the solution of a Strum–Liouville problem with some boundary conditions and hence we referred the computation of [Formula: see text] to finding the minimal zero of a function with one variable. Third, by comparing with a result of Lifshits, Papageorgiou, Woźniakowski, we obtained that the strong asymptotic order of [Formula: see text]: [Formula: see text]." @default.
• W2518442835 created "2016-09-16" @default.
• W2518442835 creator A5003490164 @default.
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• W2518442835 date "2016-11-01" @default.
• W2518442835 modified "2023-10-18" @default.
• W2518442835 title "The best constants in the Wirtinger inequality" @default.
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• W2518442835 doi "https://doi.org/10.1142/s021969131650048x" @default.
• W2518442835 hasPublicationYear "2016" @default.
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