查看更多>>摘要：In this paper,by making use of Divergence theorem for multiple integrals,we establish some integral inequalities for Schur convex functions defined on bodies B C Rn that are symmetric,convex and have nonempty interiors.Examples for three dimensional balls are also provided.
查看更多>>摘要：Based on the results of the boundedness of μΩb on Lp spaces,by using the theory of atomic decomposition of Hardy spaces,we obtain the boundedness of μΩb on Hardy spaces.
查看更多>>摘要：In this paper,we calculate the sharp bound for the generalized m-linear n-dimensional Hardy-Littlewood-Pólya operator on power weighted central and non-central homogeneous Morrey spaces.As an application,the sharp bound for the Hardy-Littlewood-Pólya operator on power weighted central and noncentral homo-geneous Morrey spaces is obtained.Finally,we also find the sharp bound for the Hausdorff operator on power weighted central and noncentral homogeneous Morrey spaces,which generalizes the previous results.
查看更多>>摘要：In this paper,we establish the strong and weak boundedness of the multi-linear maximal operator in the setting of the Choquet integral with respect to the α-dimensional Hausdorff content.Our results cover Orobitg and Verdera's results in[8].
查看更多>>摘要：This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)∋ f,where A is a Leray-Lions operator from W01,p(Ω)into its dual,β maximal monotone mapping such that 0 ∈ β(0),while g(x,s,ζ)is a nonlinear term which has a growth condition with respect to ζ and no growth with respect to s but it satisfies a sign-condition on s.The right hand side f is assumed to belong to L1(Ω).
查看更多>>摘要：Lutwak showed the Busemann-Petty type problem(also called the Shep-hard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the Lp-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the Busemann-Petty type problem for the general Lp-centroid bodies.
查看更多>>摘要：Let P(Δ)be a polynomial of the Laplace operatorΔ=nΣj=1∂2/∂xj2 on Rn.We prove the existence of a bounded right inverse of the differential operator P(Δ)in the weighted Hilbert space with the Gaussian measure,i.e.,L2(Rn,e-|x|2).
查看更多>>摘要：Recently,Li[16]introduced three kinds of single-hidden layer feed-forward neural networks with optimized piecewise linear activation functions and fixed weights,and obtained the upper and lower bound estimations on the approximation accuracy of the FNNs,for continuous function defined on bounded intervals.In the present paper,we point out that there are some errors both in the definitions of the FNNs and in the proof of the upper estimations in[16].By using new methods,we also give right approximation rate estimations of the approximation by Li's neural networks.
NETL
NSTL
万方数据
维普