On uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums
Keyword(s):
We show that some of results, obtained by S.N. Bernstein, on constructive function theory, under certain conditions, take place for uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums. On the base of obtained results for certain class of analytic functions we calculate asymptotic values of some $n$-widths.
1980 ◽
Vol 34
(150)
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pp. 441-441
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1981 ◽
Vol 17
(3)
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pp. 567-593
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1993 ◽
Vol 73
(2)
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pp. 136-148
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2003 ◽
Vol 8
(3)
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pp. 299-331
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