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Explicit bounds of the first eigenvalue

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Abstract

It is proved that the general formulas, obtained recently for the lower bound of the first eigenvalue, can be further bounded by one or two constants depending on the coefficients of the corresponding operators only. Moreover, the ratio of the upper and lower bounds is no more than four.

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Correspondence to Mufa Chen.

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Chen, M. Explicit bounds of the first eigenvalue. Sci. China Ser. A-Math. 43, 1051–1059 (2000). https://doi.org/10.1007/BF02898239

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  • DOI: https://doi.org/10.1007/BF02898239

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