Note on the Product Inequalities for Sequences of Multidimensional Integers

MA Li, , WANG Ru , HAN Xin-fang,

doi:10.13371/j.cnki.chin.q.j.m.2020.04.007

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 4: 397 - 400

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.007

Note on the Product Inequalities for Sequences of Multidimensional Integers

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1. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China; 2. Key Laboratory of Data Science and Intelligence Education, Hainan Normal University, Ministry of Education, Haikou, 571158, China

MA Li(1979-11), female, native of Nanyang, Henan, associate professor, doctor of science, engages in stochastic analysis and stochastic differential equations; WAN Ru(1994-04), female, native of Zhoukou, Henan, graduate student, engages in stochastic analysis and stochastic differential equations; Corresponding author: HAN Xin-fang(1981-02), male, native of Shangqiu, Henan, associate professor, doctor of science, engages in dirichlet forms and Stochastic analysis.

Received date: 2019-12-26

Online published: 2021-01-06

Supported by

Supported by Nature Science Foundation of Hainan Province (Grant No. 118MS040, 2018CXTD338), NSF of Higher Education Institutions of Hainan Province (Grant No. Hnky2018ZD-6), National Natural Science Foundation of China (Grant No. 11861029).

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Abstract

For multi-dimensional integer-valued sequence, a new proof of the upperbound and lower-bound estimations on the product of all its components is given in this paper. Those estimations are very important to characterize the Kondratiev space of random test function, in which space it is convenient to study random distribution, random partial differential equation and other problems.

Key words： Multidimensional integer value sequence; Product inequality; The upperbound and lower-bound estimates

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MA Li, , WANG Ru , HAN Xin-fang, . Note on the Product Inequalities for Sequences of Multidimensional Integers[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(4) : 397 -400 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.04.007

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