Continuity of Best Approximants
نویسندگان
چکیده
منابع مشابه
RAY SEQUENCES OF BEST RATIONAL APPROXIMANTS FOR Ixla
The convergence behavior of best unifonn rational approximations r;'n with numerator degree m and denominator degree n to the function Ixla, a > 0, on [-I, I] is investigated. It is assumed that the indices (m, n) progress along a ray sequence in the lower triangle of the Walsh table, i.e. the sequence of indices {(m, n)} satisfies m --c E [1,00) asm+If-OO. If In addition to the convergence beh...
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متن کاملIntermediate Rows of the Walsh Array of Best Rational Approximants to Meromorphic Functions
We investigate the convergence of the rows (fixed denominator degree) of the Walsh array of best rational approximants to a meromorphic function. We give an explicit algorithm for determining when convergence is guaranteed and obtain rates of convergence.in the appropriate cases. This algorithm also provides the solution to an integer programming problem that arises in the study of Pade approxi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.2307/2044234