• 论文 •

### Dunham型联合最佳逼近

1. 中国科学院计算中心
• 出版日期:1981-03-20 发布日期:1981-03-20

### ON THE SIMULTANEOUSLY BEST APPROXIMATION FOR DUNHAM-TYPE

1. Shih Ying-kuang Computing Center, Academia Sinica
• Online:1981-03-20 Published:1981-03-20

In this paper, we discuss the problem of simultaneously best approximation forDunham-type, i.e. one of minimization of the functional φ(P) = max {||f~+ - P||,||f~- - P||}. We have given a characterization theorem and proved a strong uniguenesstheorem and a continuity one. Finally, we have provided an algorithm for calculatingthe best approximation.
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 [1] C. B. Dunham, Simultaneous chedyshev approximation of function on ax interval, Proc. Amer. Math. Soc., 18: 3(1967) , 472-477． [2] J. B. Diaz, H. W. McLaughlin. Simultaneous approximation of a set of bounded real functions, Math. Comp., 23: 107(1969) , 583-594． [3] J. B. Diaz, H. W. Mclaughlin, On simultaneous Chebyshev approximation and Chebyshev approximation with an additive weight, J. Approx. Theory, 6: 1 (1972) , 68-71． [4] E. W. Cheney, Introduction to approximation theory, McGraw-Hill, New York, 1966．
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