INEQUALITIES OF BERNSTEIN TYPE FOR DERIVATIVES OF RATIONAL FUNCTIONS, AND INVERSE THEOREMS OF RATIONAL APPROXIMATION
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Publication:3749509
DOI10.1070/SM1985V052N02ABEH002906zbMath0609.41014OpenAlexW2145401391MaRDI QIDQ3749509
Publication date: 1985
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1985v052n02abeh002906
Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (8)
Inequalities for rational functions ⋮ A Bernstein-type inequality for rational functions in weighted Bergman spaces ⋮ Extremal problems in geometric function theory ⋮ Integral estimates of derivatives of rational functions in Hölder domains ⋮ Application of a Bernstein type inequality to rational interpolation in the Dirichlet space ⋮ AnL2inequality for rational functions ⋮ \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood ⋮ Estimates for integrals of derivatives of \(n\)-valent functions and geometric properties of domains
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