On the relationship between the rate of polynomial approximation of an entire function and its order and type

DOI10.1007/s11253-016-1168-7zbMath1386.30038OpenAlexW2408465592MaRDI QIDQ1684590

M. Z. Dveirin

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1168-7

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Special classes of entire functions of one complex variable and growth estimates (30D15)

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On the growth and best polynomial approximation of entire functions in \(\mathbb {C}^{m}\) (\(m\geq 2\)) in some Banach spaces ⋮ Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth

Cites Work

• On a class of spaces of analytic functions
• Bloch type spaces of analytic functions
• Some properties of fractional integrals. II
• A contribution to best approximation in the L\(^2\) norm
• The best polynomial approximation of functions analytic in the unit circle
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