多维整数序列的乘积不等式的注记

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

数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 397-400.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.007

多维整数序列的乘积不等式的注记

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

收稿日期:2019-12-26 出版日期:2020-12-30 发布日期:2021-01-06
作者简介: 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.
基金资助:
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).

Note on the Product Inequalities for Sequences of Multidimensional Integers

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

Received:2019-12-26 Online:2020-12-30 Published:2021-01-06
About author: 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.
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).

摘要/Abstract

摘要： 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.

关键词: Multidimensional integer value sequence, Product inequality, The upperbound and lower-bound estimates

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

中图分类号:

O211.63

马丽, 王如, 韩新方. 多维整数序列的乘积不等式的注记[J]. 数学季刊, 2020, 35(4): 397-400.

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.

[1]	马丽, 王如, 韩新方. 多维整数序列的乘积不等式的注记[J]. 数学季刊, 0, (): 210-214.
[2]	陈丽, 薛玲霞, 兰社云. 随机环境中的超过程的对偶过程与比较定理[J]. 数学季刊, 2013, 28(2): 297-302.
[3]	毛伟, 韩修静, 陈波. 带跳的随机比例微分方程的半隐式Euler数值解法[J]. 数学季刊, 2011, 26(3): 405-409.
[4]	谢臻赟, 夏宁茂. 带小参数的非线性倒向随机微分议程在局部Lipschitz条件下解的存在唯一性[J]. 数学季刊, 2010, 25(3): 344-351.
[5]	陆敏, 王增武. 非Lipschitz条件下倒向随同微分方程解的反比较定理[J]. 数学季刊, 2009, 24(4): 568-573.

多维整数序列的乘积不等式的注记

Note on the Product Inequalities for Sequences of Multidimensional Integers

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价