In this paper, we investigate non-zero positive eigenvalues of the Laplacian with Dirichlet boundary condition in an n-dimentional Euclidean space R;, then we obtain an new upper bound of the(k +1)-th eigenvalue λ;, which improve the previous estimate which was obtained by Cheng and Yang, see(1.8).
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Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R ChinaLeshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China
Wang, Tianfei
Yang, Jin
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Leshan Normal Univ, Lab Intelligent Informat Proc & Applicat, Leshan 614004, Peoples R ChinaLeshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China
Yang, Jin
Li, Bin
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Leshan Normal Univ, Lab Intelligent Informat Proc & Applicat, Leshan 614004, Peoples R ChinaLeshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China