On the problem of the description of sequences of best rational trigonometric approximations
Journal Article
·
· Sbornik. Mathematics
- Gomel State University, Gomel (Belarus)
For a fixed sequence {l_brace}a{sub n}{r_brace}{sup {infinity}}{sub n=0} of non-negative real numbers strictly decreasing to zero a continuous 2{pi}-periodic function f is constructed such that R{sup T}{sub n}(f)=a{sub n}, n=0,1,2,..., where the R{sup T}{sub n}(f) are the best approximations of f in the uniform norm by rational trigonometric functions of degree at most n.
- OSTI ID:
- 21202932
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 191; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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