On the accuracy of approximation of the complex exponential by the first terms of its Taylor expansion and applications to the Fourier-Stieltjes transform

DOI10.1134/S106456241304011XzbMath1281.30027OpenAlexW2010034201MaRDI QIDQ382204

I. G. Shevtsova

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241304011x

zbMATH Keywords

characteristic function approximationcomplex exponential Taylor approximation

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Approximation in the complex plane (30E10) Asymptotic representations in the complex plane (30E15)

Related Items (1)

On the absolute constants in the Berry-Esseen-type inequalities

Cites Work

• An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums
• Noch einige Ungleichungen für charakteristische Funktionen
• Modern Theory of Summation of Random Variables
• The Extrema of the Expected Value of a Function of Independent Random Variables
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