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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2007 Volume 48, Number 3, Pages 538–555 (Mi smj46)
This article is cited 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

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.

UDC: 517.5

Received: 12.05.2005
Revised: 20.07.2006


 English version: Siberian Mathematical Journal, 2007, 48:3, 430–445

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© Steklov Math. Inst. of RAS, 2025