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 integ...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.展开更多
In this paper,we analyze the Wilson element method of the eigenvalue problem in arbitrary dimensions by combining a new technique recently developed in[10]and the a posteriori error result.We prove that the discrete e...In this paper,we analyze the Wilson element method of the eigenvalue problem in arbitrary dimensions by combining a new technique recently developed in[10]and the a posteriori error result.We prove that the discrete eigenvalues are smaller than the exact ones.展开更多
基金Supported by the Natural Science Foundation of Shandong Province（ZR2010AL019） Supported by the Education Science Foundation of Shandong Province（2010JZ123）
文摘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.
基金The work is supported by the PHR(IHLB)project under Grant PHR20110874the NSFC project under Grant 11101013the PHR(IHLB)project under Grant PHR201102.
文摘In this paper,we analyze the Wilson element method of the eigenvalue problem in arbitrary dimensions by combining a new technique recently developed in[10]and the a posteriori error result.We prove that the discrete eigenvalues are smaller than the exact ones.
