Estimates of Central Moments for One Kind of Exponential-Type Operators

In this paper,the explicit estimates of central moments for one kind of exponential-type operators are derived.The estimates play an essential role in studying the explicit approximation properties of this family of operators.Using the proposed method,the results of Ditzian and Totik in 1987,Guo and Qi in 2007,and Mahmudov in 2010 can be improved respectively.     

Generalized Sampling Series Approximation of Random Signals from Local Averages

Signals are often of random character since theycannot bear any information if they are predictable forany timet,they are usually modelled as stationary ran-dom processes. Balakrishnan[1]and Lloyd[2]investiga-ted the Shannon sampling on stationary randomp…     

对瑞文标准推理量表的分析

从数学表示形式和计算机图形设计的角度，对瑞文标准推理量表中题目的类型进行了分析，对该量表的改造和创新提供了理论上的依据及实践上可行的方法。     

数学素质的评价与数学差生的界定及分类

通过对数学素质的诸指标的测量,利用属性识别理论,讨论了数学素质的综合评价方法,并应用该方法于数学差生的界定与分类．     

Greedy algorithm in m-term approximation for periodic Besov class with mixed smoothness

Nonlinear m-term approximation plays an important role in machine learning,signal processing and statistical estimating.In this paper by means of a nondecreasing dominated function,a greedy adaptive compression numerical algorithm in the best m-term approximation with regard to tensor product wavelet.-type basis is proposed.The algorithm provides the asymptotically optimal approximation for the class of periodic functions with mixed Besov smoothness in the Lq norm.Moreover,it depends only on the expansion of function f by tensor product wavelet-type basis,but neither on q nor on any special features of f.