On a quadratic integral inequality

DOI10.1017/S0308210500009987zbMath0393.26008OpenAlexW2313964324MaRDI QIDQ4175804

R. J. Amos, W. Norrie Everitt

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500009987

zbMATH Keywords

SpectrumEigenvalueHilbert SpaceApproximation TheoremDirichlet ConditionEigenspaceLinear ManifoldOrdinary Differential OperatorQuadratic Integral InequalitySelf-Adjoint

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of ordinary differential operators (47E05) Inequalities involving derivatives and differential and integral operators (26D10) Ordinary differential operators (34L99)

Related Items (5)

Unnamed Item ⋮ On integral inequalities and compact embeddings associated with ordinary differential expressions ⋮ Differential operators and quadratic inequalities with a degenerate weight ⋮ A second order Dirichlet differential expression that is not bounded below ⋮ On the minimization of singular quadratic functional

Cites Work

• Remarks on some Dirichlet type results for semibounded Sturm-Liouville operators
• 18.—An Inequality of C. R. Putnam involving a Dirichlet Functional
• A Note on the Dirichlet Condition for Second-Order Differential Expressions
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