Poincaré Inequalities for Bounded Jump Processes |
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| Authors: | CHEN Wen-ying |
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| Institution: | College of Mathematics and Computer Science, Chongqing Three Gorges University, Chongqing 404000, China |
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| Abstract: | A lot of forms and applications have been found in Poincaré inequality, but the optimum constants satisfying Poincaré inequality have not been estimated. This paper estimates the optimum constantsλ_0 and λ_1 satisfying Poincaré inequality by using isoperimetric constants. It is λ_0≥k_0~2/(2R) and λ_1≥k'_1~2/(2R). |
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| Keywords: | Non-trivial probability space Isoperimetric constants Bounded jump processes |
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