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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 538–555 (Mi smj46)  
This article is cited in 14 scientific papers (total in 14 papers)

Sharp error estimates for the numerical differentiation formulas on the classes of entire functions of exponential type

O. L. Vinogradov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (258 kB) Citations (14)
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Abstract: We establish sharp error estimates for some numerical di.erentiation formulas on the classes of entire functions of exponential type. The estimates strengthen some classical sharp inequalities of approximation theory.
Keywords: sharp inequalities, Bernstein inequality, entire functions of exponential type, Fourier transform, numerical differentiation formulas.
Received: 12.05.2005
Revised: 20.07.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 3, Pages 430–445
DOI: https://doi.org/10.1007/s11202-007-0046-9
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, “Sharp error estimates for the numerical differentiation formulas on the classes of entire functions of exponential type”, Sibirsk. Mat. Zh., 48:3 (2007), 538–555; Siberian Math. J., 48:3 (2007), 430–445
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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