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The Description of Besov Spaces with Bernstein Type Operators

CHENG Wen zhong 1 SHENG Bao huai 2 (1.Dept. of Math.,Xiamen Univ.,Xiamen 361005,China; 2.Dept. of Appl. Math.Xidian Univ.,Xi′an 710071,China)  
By using Bernstein operators,Bernstein Kantorovic operators, and Bernstein Durrmeyer operators as well, the problems of simultaneous appoximation in Besov spaces introduced by DeVore and Yu Xiangming are studied. A new type of equivalent theorem of Bernstein type operators is given by using the essential connections between the K functions and the interpolation spaces.
【Fund】: 国家自然科学基金!(19871068)
【CateGory Index】: O177
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