Wirtinger’s Inequality

DOI10.1137/0509029zbMath0402.26005OpenAlexW2042811073MaRDI QIDQ4186569

Charles A. Swanson

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509029

zbMATH Keywords

EigenvalueBoundary Value ProblemSpectral TheoryEigenfunctionOrdinary Differential OperatorElliptic Partial Differential OperatorPicone Differential IdentityRayleigh InequalitySturm-Liouville InequalityWirtinger's Inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities involving derivatives and differential and integral operators (26D10) Ordinary differential operators (34L99)

Related Items (13)

Unnamed Item ⋮ Discrete Wirtinger type inequality under non-periodic end conditions ⋮ On discrete Wirtinger-Northcott problems ⋮ Mathematical analysis and numerical simulation of the Guyer-Krumhansl heat equation ⋮ On an integral inequality of the Wirtinger type ⋮ Lyapunov and Wirtinger inequalities. ⋮ Higher order Wirtinger inequalities ⋮ Dynamic Picone's identity and its applications ⋮ Wirtinger type inequalities for higher order differentiable functions ⋮ Stabilization of Timoshenko-Ehrenfest type systems ⋮ A kind of sharp Wirtinger inequality ⋮ A time scales version of a Wirtinger-type inequality and applications ⋮ Some integral inequalities related to Wirtinger’s result for p-norms

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