二元三角插值序列的矩形强性逼近  

On a rectangular and strong approximation in bivariate trigonometric interpolation sequences

作　　者：王小刚[1] 

机构地区：[1]北方民族大学基础部,宁夏银川750021

出　　处：《安徽大学学报（自然科学版）》2010年第2期28-33,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10961001)

摘　　要：强性逼近问题是逼近论中重要的研究问题之一,但是因为问题比较复杂,研究成果并不多见.对于连续的具有2π周期的二元函数类,该论文得到了由此构造的二元三角插值序列的(p,q)阶r次强性逼近问题,得到了强性逼近的正定理,在逼近结果上达到了最佳,并推广了一些文献中的结果.The results of strong approximation is seldom, because it is an important and complicate reasearch area in approximation theory. The problem considered here was a kind of bivariate function of continuous and had a period of 2π, the estimation of bivariate trigonometric interpolation sequences was （p, q）-th strongly approximation for every positive real number r, the positive theorem and optimal approximation order was arrived. Therefore some conclusions became a special cases of the result of present paper.

关 键 词：二元 最佳逼近 强性逼近 

分 类 号：O174.41[理学—数学]