Exact errors of best approximation for complex-valued nonperiodic functions

DOI10.1016/j.jat.2018.02.002zbMath1390.41034OpenAlexW2792081071MaRDI QIDQ1743710

Michael I. Ganzburg

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.jat.2018.02.002

zbMATH Keywords

entire functions of exponential typecomplex-valued functionsMarkov's theoremerror of best approximationconvolution classesNagy's theorem

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Best constants in approximation theory (41A44)

Related Items (3)

Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series ⋮ A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix

Cites Work

• Entire approximations for a class of truncated and odd functions
• Some extremal functions in Fourier analysis. III
• Some extremal functions in Fourier analysis
• A Class of Extremal Functions for the Fourier Transform
• Some trigonometric extremal functions and the Erdos-Turan type inequalities
• Exact errors of best approximation for complex-valued periodic functions
• On Positivity of Fourier Transforms
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