共查询到18条相似文献,搜索用时 265 毫秒
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在函数单向S-粗集生成的一元F-粗积分的基础上,结合元素迁移的概率特征,提出了依概率p-粗积分的概念,给出了依概率p-粗积分上下关系链定理和依概率p-粗积分关系链定理,讨论了依概率p-粗积分和F-粗积分及牛顿积分间的关系. 相似文献
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函数单向S粗集对偶(dual offunction one direction singular rough sets)是函数S粗集的基本形式之一,函数单向S-粗集对偶具有动态特性与规律(函数)特性.函数S粗集(function singular rough sets)是把函数概念引入到S粗集内(singular rough sets)改进S粗集得到的把导数概念与函数单向S粗集对偶交叉、渗透给出粗边际规律F-粗边际规律概念;给出粗边际规律F-粗边际规律特征;给出F-粗边际规律与粗边际规律的关系;给出F-粗边际规律在经济信息系统中的应用 相似文献
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本文引进了无限维辫子Hopf代数日的忠实拟对偶H~d和严格拟对偶H~(d′).证明了每个严格拟对偶H~(d′)是一个H-Hopf模.发现了H~d的极大有理H~d-子模H~(drat)与积分的关系,即:H~(drat)≌∫_(H~d)~l■H.给出了在Yetter-Drinfeld范畴(_B~ByD,C)中的辫子Hopf代数的积分的存在性和唯—性. 相似文献
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F-rough integrals is defined on the basis of the dual of function one direction S-rough sets,which has dynamic characteristics.Using F-rough integrals,the concepts of expansion measurement-expansion degree and expansion ratio are given.By expansion degree and expansion ratio the changing extent can be expressed with numbers,and the recognition principle of attribute effect on function equivalences is got. 相似文献
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The concepts of the lower approximation integral,the upper approximation integral and rough integrals are given on the basis of function rough sets.Based on these concepts,the relation of the lower approximation integrals,the relation of the upper approximation integrals,the relation of rough integrals,and the double median theorem of rough integrals are discussed.Rough integrals have finite contraction characteristic and finite extension characteristic. 相似文献
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Steklov expansions for a harmonic function on a rectangle are derived and studied with a view to determining an analog of the mean value theorem for harmonic functions. It is found that the value of a harmonic function at the center of a rectangle is well approximated by the mean value of the function on the boundary plus a very small number (often 3 or fewer) of specific further boundary integrals. These integrals are coefficients in the Steklov representation of the function. Similar approximations are found for the central values of solutions of Robin and Neumann boundary value problems. The results follow from analyses of the explicit expressions for the Steklov eigenvalues and eigenfunctions. 相似文献
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In this paper, the authors give a mixed norm estimate for the multi-parameter fractional integrals on product measurable spaces.
This estimate is applied to obtain the boundedness for the fractional integrals of Nagel-Stein type on product manifolds,
the fractional integral of Folland-Stein type with rough convolution kernels on product homogeneous groups, and the discrete
fractional integrals of Stein-Wainger type.
The research was supported by NSF of China (Grant: 10571015) and SRFDP of China (Grant: 20050027025). 相似文献
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Abstract
In this paper, we study multilinear oscillatory singular integrals with rough kernel, and give a criterion of certain boundedness
for this kind of operator
Research supported by NNSF of China (No.19131080) and NEDF of China 相似文献