数学季刊 >

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

DOI: https://doi.org/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

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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.

收稿日期: 2019-12-26

  网络出版日期: 2021-01-06

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).

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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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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

本文引用格式

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

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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