Entire functions of order 1/2 in the approximation to functions on a semiaxis

DOI10.1134/S1063454119040101zbMath1456.30065OpenAlexW4285784233MaRDI QIDQ2212407

O. V. Sil'vanovich, Nikolai Shirokov

Publication date: 23 November 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454119040101

zbMATH Keywords

approximationHölder classesentire functions of order \(1/2\)

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Approximation by entire functions on a countable set of continua

Cites Work

• On exact constants in inequalities for the norms of intermediate derivatives on a finite interval
• The pseudoanalytic extension
• Approximation of functions from the Hölder class on a half-axis
• Approximation by entire functions on countable unions of segments of the real axis. II: Proof of the main theorem
• Approximations by entire functions on countable unions of segments of the real axis
• Approximation by entire functions on a countable union of segments on the real axis. III: Further generalization
• Pseudoanalytic extension of smooth functions. The uniform scale
• Landau-Kolmogorov inequality on a finite interval
• On inequalities for norms of intermediate derivatives on a finite interval
• Additive inequalities for the norms of intermediate derivatives
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