二元算子方程组的唯一解

利用锥理论和半序方法,对Banach空间上一类二元算子方程组的求解进行了探讨,利用较简捷的条件,得出方程组的唯一解及其迭代逼近式及误差估计式,并推广到n元算子方程组的情形,改进了许多有关结果.     

关于电子自旋算符的几个问题

对有关电子自旋算符的表示和变换等运算的一些基本概念作了深入的研究,提出了一些新思想,阐明了在理解这些概念时应注意的一些问题     

科学基金项目立项评审中语言评价信息集结方法

根据科学基金立项评审中处理语言评价信息的实际需要,提出二维语言评价信息的集结问题,并基于主观证据推理理论设计了相应的解决方法。首先通过问卷调查将科学基金立项评审中的二维语言评价信息定量表示;然后针对二维语言评价信息的特点设计了集结算子,并提供了相应的项目择优与排序规则;最后用科学基金评审中的实际数据进行仿真评审,检验了模型的有效性。     

Subordination and superordination properties of multivalent functions defined by certain integral operator

For normalized multivalent functions, we study different applications of the theory of differential subordination and superordination, that are connected to a recent linear operator defined by Liu and Owa.     

Observer-based sliding mode control for a class of discrete systems via delta operator approach

In this paper, an observer-based sliding mode control (SMC) problem is investigated for a class of uncertain delta operator systems with nonlinear exogenous disturbance. A novel robust stability condition is obtained for a sliding mode dynamics by using Lyapunov theory in delta domain. Based on a designed sliding mode observer, a sliding mode controller is synthesized by employing SMC theory combined with reaching law technique. The robust asymptotical stability problem is also discussed for the closed-loop system composed of the observer dynamics and the state estimation error dynamics. Furthermore, the reachability of sliding surfaces is also investigated in state-estimate space and estimation error space, respectively. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the developed method.     

Digital transformation solutions of entrepreneurial SMEs based on an information error-driven T-spherical fuzzy cloud algorithm

The digital transformation of enterprises has become an inevitable development trend and one of the key driving forces that promotes the sustainable development of enterprises. However, due to the many obstacles of financial burdens, technical thresholds, and talent shortages, digital transformation has become a challenging task for entrepreneurial Small and Medium-Sized Enterprises (SMEs). Additionally, many competitive digital transformation solutions on the market cause confusion when enterprises must choose one. This study drew a new information error-driven T-spherical fuzzy cloud algorithm to evaluate digital transformation solutions of entrepreneurial SMEs and support its selection. First, an evaluation index system for the digital transformation solution of entrepreneurial SMEs was established from four aspects. Then, a new concept of a T-spherical fuzzy cloud was defined to represent the evaluation information of the indicators. Additionally, a T-spherical Fuzzy Cloud Weighted Heronian Mean (T-SFCWHM) operator was used to aggregate the evaluation information. Afterward, an evaluation and selection decision framework for the digital transformation solution of entrepreneurial SMEs based on the T-SFCWHM operator was developed. Further, a practical example was given to illustrate the effectiveness of the proposed method. Finally, a discussion of the findings in our study was conducted, and the conclusions were summarized.     

含Salagean算子的星形函数的子类

设A表示单位圆盘内形为f（z）=z＋∑k=2∞akz^k的解析函数类．利用Salagean算子,引进A的新子类H（n,λ）,研究H（n,λ）中函数的一些有趣的性质,这里n是非负整数,-1＜λ≤1     

Caldero＇n-Zygmund算子在齐型空间中弱Morrey-Herz空间的有界性

证明了Caldero＇n-Zygmund算子在齐型空间中弱胁胞尹肌陀空间的有界性．     

完全连续的双参数C0半群

为了丰富半群理论,在对双参数C0半群概念界定的基础上利用经典的算予半群理论,引入了完全连续双参数C0半群的概念,得出了完全连续双参数C0半群的由其无穷小生成元所刻划的特征,并讨论了单参数C0完全连续性与双参数C0半群完全连续性之间的联系．     

局部有界函数的Baskakov—Bezier算子的收敛阶

对局部有界函数,的Baskakov—Bezier算子在区间[0,∞）上的收敛阶进行估计．在Zeng和Gupta关于Baskakov—Bezier算子的收敛阶研究的基础上,利用概率论中对k阶中心矩的估计方法,对其所给的估计结果作进一步的改进,得到更精确的系数估计．