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Exact estimates for partially monotone approximation |
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| Authors: | G L Iliev |
| Institution: | (1) Institute of Mathematics and Mechanics with computing center, P. O. B. 373, 1000 Sofia, Bulgaria |
| Abstract: |      f(x) —       ,         - –1,1],  (f,  ) —     , as— f, . . (-  )  (x
i,x
i+ 1) (i=0, 1, ...,s–1; =–1,x
s,=1), f(x)   .  ,  n=0,1,...  
n() , – 1,1] signf (x) sign
n(x)  0, ¦f(x)–
n(x)¦  C(s) (f, 1/n+1, C(s) s.  ,   - , « » . |
| Keywords: | |
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