近于凸函数新子类的偏差定理和卷积性质

引进了近于凸函数的新子类.利用从属关系得到了偏差定理和卷积性质.所得结果推广了一些作者的相关结果,并得到有趣的新结果.     

满足同一个Riemann型函数方程的L-函数的唯一性

利用L-函数的性质证明了满足同一个Riemann型函数方程的扩充的Selberg类中的次数大于零的L-函数分担一个有限值的定理,并应用该定理证明了满足同一个Riemann型函数方程的涉及公共值的唯一性定理,所得结果改进了J.Steuding和李宝勤的有关结果,也是S.M.Gonek,J.Haan和H.Ki主要结果的补充.     

与障碍问题有关的一些正则性结果（英文）

本文考虑在强制和增长条件下的非齐次A-调和方程的解.使用Sobolev空间方法,得到局部正则性和局部有界性结果.这些结果是经典结果的推广.     

一般形式的密度估计

对于一般形式的核密度估计,我们指出ComposV.S.M.和DoreaC.C.Y.2001年论文中存在的几处错误,且给出了正确的结果及其证明.推广了一些有关文献中关于连续型密度和离散型分布核估计的若干结果.     

NOD随机变量随机加权部分和的完全收敛性

本文研究了NOD随机变量双下标随机加权部分和的完全收敛性,获得了一些完全矩收敛结果和完全收敛结果,从而获得了Marcinkiewicz-Zygmund型强大数律.我们的结果推广了目前已有的一些结论.进一步,我们给出一些数据模拟工作来展示收敛性结果.     

&rho|混合随机变量加权和的收敛性

该文研究了ρ 混合随机变量加权和的强大数律及完全收敛性, 获得了一些新的结果. 该文的结果推广和改进了Bai 等^[1]及Baum 等^[18] 在 i.i.d. 情形时相应的结果, 也推广和改进了Volodin 等^[4]在实值独立时相应的结果. 该文还得到了一关于任意随机变量阵列加权和的完全收敛性定理.     

广义框架的一些等式和不等式

广义框架是框架的推广,它包含了Hilbert空间中通常框架的最近各种拓广.建立广义框架的一些等式和不等式.所得结果推广和改进了Balan R.,Casazza P G.,Edidin D.和Kutyniok G.的结果.特别地,说明了不等式中的界是最佳的.     

混合时滞的随机微分方程的稳定性研究

本文研究了混合时滞的随机微分方程的稳定性,利用Lyapunov函数方法和半鞅收敛定理得到了p阶矩指数稳定和几乎必然指数稳定的判定定理.M矩阵技巧的使用使所得结果更便于应用.最后举例说明了结果的实用性.     

模糊群决策结果的可信性评估

模糊数是群决策中常用的决策结果表达形式.研究了模糊群决策结果的可信性评估问题.认为群决策结果的可信性与模糊群决策结果的模糊度和一致度存在强相关,因此,模糊群决策结果可信性评估主要就是对群决策结果的模糊度和一致度的计算,创新提出了基于群隶属函数的模糊度和一致度的计算方法,并给出了基于模糊度和一致度的专家模糊数决策结果综合评价值的计算方法,最后,在此基础上求得专家模糊评估结果的可信度和群决策结果的可信度.     

关于广义Muirhead平均的Schur幂凸性

对广义Muirhead平均的Schur-幂凸性进行了讨论,给出了判定Muirhead平均的Schur-幂凸性的充要条件.结果改进了Chu和Xia在相关文献中的主要结果,Chu和Xia的结果是结果的特例.     

New type of fixed point result of F-contraction with applications

The purpose of this paper is to prove theorem which generalize the corresponding results of Rhoades [B. E. Rhoades, Two New Fixed Point Theorems, Gen. Math. Notes, 2015, 27(2), 123--132]. This paper is to introduce the notion of dynamic process for generalized $F-$contraction mappings and to obtain coincidence and common fixed point results for such process. It is worth mentioning that our results do not rely on the commonly used range inclusion condition. We provide some examples to support our results. As an application of our results, we obtain the existence and uniqueness of solutions of dynamic programming and integral equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.     

Nonlinear iteration method for proximal split feasibility problems

The purpose of this paper is to introduce iterative algorithm which is a combination of hybrid viscosity approximation method and the hybrid steepest‐descent method for solving proximal split feasibility problems and obtain the strong convergence of the sequences generated by the iterative scheme under certain weaker conditions in Hilbert spaces. Our results improve many recent results on the topic in the literature. Several numerical experiments are presented to illustrate the effectiveness of our proposed algorithm, and these numerical results show that our result is computationally easier and faster than previously known results on proximal split feasibility problem.     

非Lipschitz渐近伪压缩映象不动点的迭代逼近

本文在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近非Lipschitz的渐近伪压缩映象不动点的强收敛性问题;在去掉条件"‖Tnxn-xn‖→0(n→∞)"及"{xn}有界"之下,证明了相关文献的结果仍然成立.所得结果改进和推广了最近一些人的最新结果.     

一个无正则条件下一般约束最优化问题的信赖域算法的收敛性

本文我们对[1]的算法给出一个修正并在无正则条件下对这一算法给出了收敛性分析，与[1]不同，我们不需要(SBSQ)约束条件。因此本文的结果是[1]的结果的推广和加强。     

Gibbs–butzer derivatives and their applications 1

A series of results on Gibbs derivatives and their applications made by the group of modern harmonic analysts and approximation theorists in Nanjing University is presented in this paper. It is a survey of these results concerned with certain locally compact groups obtained by that group. Moreover, some new results are also included.     

Banach空间上Banach框架和原子分解的扰动

框架扰动是框架理论中活跃的研究方向, 但它的多数研究是在Hilbert空间上进行的. 该文讨论Banach空间上Banach框架和原子分解的扰动, 得到一些新的结果, 并表明众多已知结果是这些新结果的特例.     

关于渐近伪压缩型映象的不动点的迭代构造

本文引入了Banach空间中一类渐近伪压缩型映象,它概括了熟知的若干映象类成特例.而且,还研究了关于这类映象的带误差的修改了的Ishikawa与Mann迭代序列的逼近问题.本文所得结果改进与推广了张石生教授的所有结果以及前人研究的相应结果.     

Fixed point theorems for multi-valued contractions in complete metric spaces

In this paper the concept of a contraction for multi-valued mappings in a metric space is introduced and the existence theorems for fixed points of such contractions in a complete metric space are proved. Presented results generalize and improve the recent results of Y. Feng, S. Liu [Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317 (2006) 103-112], D. Klim, D. Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl. 334 (2007) 132-139] and several others. The method used in the proofs of our results is new and is simpler than methods used in the corresponding papers. Two examples are given to show that our results are genuine generalization of the results of Feng and Liu and Klim and Wardowski.     

Dominant eigenvalue problem for positive integral operators and its solution by Monte Carlo method

In this paper, a method of numerical solution to the dominant eigenvalue problem for positive integral operators is presented. This method is based on results of the theory of positive operators developed by Krein and Rutman. The problem is solved by Monte Carlo method constructing random variables in such a way that differences between results obtained and the exact ones would be arbitrarily small. Some numerical results are shown.     

On a generalization of the Richardson extrapolation process

Summary A convergence result for a generalized Richardson extrapolation process is improved upon considerably and additional results of interest are proved. An application of practical importance is also given. Finally, some known results concerning the convergence of Levin's T-transformation are reconsidered in light of the results of the present work.