Asymptotic relations between interpolation differences and zeta functions

DOI10.1016/j.jmaa.2022.126639OpenAlexW4293474923MaRDI QIDQ2079578

Michael I. Ganzburg

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126639

zbMATH Keywords

entire functions of exponential typezeta functionsDirichlet \(L\)-functionsinterpolation difference

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Zeta and (L)-functions: analytic theory (11Mxx)

Cites Work

• The Bernstein constant and polynomial interpolation at the Chebyshev nodes.
• Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\)
• Some extremal functions in Fourier analysis. III
• Entire approximations to the truncated powers
• The Lerch zeta function I. Zeta integrals
• Some extremal functions in Fourier analysis
• Polynomial interpolation and asymptotic representations for zeta functions
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