A Lyapunov-type inequality for a \(\psi\)-Laplacian operator (Q642572)
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scientific article; zbMATH DE number 5964233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Lyapunov-type inequality for a \(\psi\)-Laplacian operator |
scientific article; zbMATH DE number 5964233 |
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A Lyapunov-type inequality for a \(\psi\)-Laplacian operator (English)
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27 October 2011
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For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
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Lyapunov-type inequality
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sub-multiplicative function
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convex function
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\(\psi\)-Laplacian
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bounds on the eigenvalues
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