Diameters of certain classes of analytic functions

DOI10.1007/BF01780976zbMath0425.30026OpenAlexW1972162426MaRDI QIDQ1135397

L. V. Taĭkov

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01780976

zbMATH Keywords

convex functionHardy classKolmogorov diameterdiameters of classes of analytic functionsextremal properties of polynomialsmodule of smoothness

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (6)

Best linear approximation methods for some classes of analytic functions on the unit disk ⋮ On the best simultaneous approximation in the Bergman space \(B_2\) ⋮ On the best polynomial approximation in Hardy space ⋮ Estimates of the values of \(n\)-widths of classes of analytic functions in the weight spaces \(H_{2,\gamma}(D)\) ⋮ Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\) ⋮ On the Best Polynomial Approximation of Functions in the Weight Bergman Space

Cites Work

• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS

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