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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some Results on Partial Inverse Spanning Tree Problems
部分逆生成树 有权函数 非循环边子集
2023/11/6
Given a graph G with weight function w and an acyclic edge subset E', the partial inverse spanning tree problem on (G, w; E') is to find a new weight function w* so that E' can be extended to a maximu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
2023/5/4
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Some results on zeros distributions and uniqueness of derivatives of difference polynomials
Zeros difference polynomials derivatives value sharing uniqueness
2011/8/25
Abstract: We consider the zeros distributions on the derivatives of difference polynomials of meromorphic functions, and present some results which can be seen as the discrete analogues of Hayman conj...
Circle action and some vanishing results on manifolds
circle action signature twisted signature operator rigidity
2011/1/19
Kawakubo and Uchida showed that, if a closed oriented 4k-dimensional manifold M admits a semi-free circle action such that the dimension of the fixed point set is less than 2k,then the signature of M ...
Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
suprema of Gaussian processes omega results random multiplicative function
2011/1/17
We prove new lower bounds for the upper tail probabilities of suprema of Gaussian processes. Unlike many existing bounds, our results are not asymptotic,but supply strong information when one is only ...
Painleve-Kuratowski convergence results are obtained, under sufficient conditions of minimal character, for approximate Nash equilibria of two sequences of real valued functions. Moreover, an applicat...
Viability Results for Nonautonomous DiÞerential Inclusions
Viability Results Nonautonomous DiÞ erential Inclusions
2009/1/19
We obtain measurable viability results for the diÞerential inclusion y0(t) 2 F(t; y(t)) via the approximation of F through the Aumann integral means. The admissibility of a preorder is also stud...
Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$
Fourier series Walsh-system Vilenkin systems Representative product systems
2010/1/22
The aim of this paper is to continue the studies about convergence in -norm of the Fourier series based on representative product systems on the complete product of finite groups. We restrict our atte...
Some Results on the Unitary Analogue of the Lehmer Problem
Lehmer problem Unitary analogue of Lehmer problem
2010/1/22
Let be a positive integer with , and let denote the unitary analogue of Euler's totient function . Using Grytczuk-Wójtowicz's techniques from the paper [2] we strengthen considerably the lower estim...
Some Results Related to a Question of Hinkkanen
meromorphic functions uniqueness sharing values
2007/12/11
In this paper, we prove several results concerning meromorphic functions $f$ and $g$ of hyper-order less than one such that $f^{(j)}$ and $g^{(j)}$ have the same zeros and poles for $j = 0, 1, 2.$ We ...