A note on three conjectures by Gonchar on rational approximation

DOI10.1016/0021-9045(87)90060-8zbMath0635.41015OpenAlexW1968337695WikidataQ123331537 ScholiaQ123331537MaRDI QIDQ1097430

Herbert R. Stahl

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90060-8

zbMATH Keywords

best constantsasymptotics of the order of approximation by rational functionsbest-rational approximationlog-capacity

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Padé approximation (41A21) Uniqueness of best approximation (41A52)

Related Items (2)

Distribution of poles of diagonal rational approximants to functions of fast rational approximability ⋮ Rows and diagonals of the Walsh array for entire functions with smooth Maclaurin series coefficients

Cites Work

• Orthogonal polynomials with complex-valued weight function. I
• Orthogonal polynomials with complex-valued weight function. II
• Divergence of diagonal Padé approximants and the asymptotic behavior of orthogonal polynomials associated with nonpositive measures
• Extremal domains associated with an analytic function II
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