二元函数空间上指数型算子的整体逼近定理  

Global Approximation Theorems for Some Exponential-type Operators on Space of Two-variate Function

作　　者：陈文忠[1] 吴自力[2] 

机构地区：[1]厦门大学数学系 [2]厦门集美航海学院

出　　处：《厦门大学学报（自然科学版）》1992年第1期6-11,共6页Journal of Xiamen University：Natural Science

基　　金：福建省自然科学基金

摘　　要：引入二元函数空间上的指数型算子,并建立其整体逼近的等价定理。continuous on D}exponential-type operators are given by La1,ax (f;x1,x2)== W(n1, n2;x1,x2;x3, u2)f(u1,u2)du1du2,(n1,n2∈N), If φa (xa)(x=1,2) has no double zero and satisfieswhere α1=min(x1,x2 +φ', (x3)/n3),βn= max(x1,x2 +φ'.(xa)/nb) ,M/ is an absolute constant indepent of ni and X1, then the following theorem is obetained.Theorem Let φ1(x1)(i= 1,2) satisfy the above condition. Then for f∈C(D),ω2(f,h)<+∞ (0<k<h0<+∞)and 0<α<2, the following statements are equivalent.

关 键 词：指数型算子 整体逼近 等价定理 

分 类 号：O174.41[理学—数学]