Vinogradov, O. L. Sharp error estimates for the numerical differentiation formulas on the classes of entire functions of exponential type. (Russian, English) Zbl 1164.65321 Sib. Mat. Zh. 48, No. 3, 538-555 (2007); translation in Sib. Math. J. 48, No. 3, 430-445 (2007). Summary: We establish sharp error estimates for some numerical differentiation formulas on the classes of entire functions of exponential type. The estimates strengthen some classical sharp inequalities of approximation theory. Cited in 8 Documents MSC: 65D25 Numerical differentiation Keywords:Bernstein inequality; sharp inequalities; entire functions of exponential type; Fourier transform; numerical differentiation formula; error estimates PDFBibTeX XMLCite \textit{O. L. Vinogradov}, Sib. Mat. Zh. 48, No. 3, 538--555 (2007; Zbl 1164.65321); translation in Sib. Math. J. 48, No. 3, 430--445 (2007) Full Text: EuDML EMIS