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Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality. (English) Zbl 0435.47049


MSC:

47F05 General theory of partial differential operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
39B72 Systems of functional equations and inequalities
26D15 Inequalities for sums, series and integrals
34L99 Ordinary differential operators
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