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Precise Spectral Asymptotics for Nonlinear Sturm–Liouville Problems

open access: yesPrecise Spectral Asymptotics for Nonlinear Sturm–Liouville Problems
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On the Convergence Rate in Precise Asymptotics

Theory of Probability & Its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Precise asymptotics of weighted sequences and their applications

Acta Mathematica Hungarica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choi, B. J., Ji, U. C., Shin, D.
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Precise Asymptotics for Lévy Processes

Acta Mathematica Sinica, English Series, 2006
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Hu, Zhi Shui, Su, Chun
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A converse to precise asymptotic results

Statistics & Probability Letters, 2006
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Li, Deli, Spătaru, Aurel
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Precise Asymptotic Formulas for Semilinear Eigenvalue Problems

Annales Henri Poincaré, 2001
The boundary value problem under consideration is \[ -u''(t)=|u(t)|^{p-1}u(t)-\lambda u(t), t\in (0,1); u(0)=u(1)=0, \tag \(*\) \] where \(p>1\) and \(\lambda\in \mathbb{R}\) is an eigenvalue parameter. As it is well known by \textit{H. Berestycki} [J. Funct. Anal.
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On Construction of High Precision Asymptotic Expansions

Theory of Probability & Its Applications, 2016
Summary: This paper proposes new asymptotic expansions in the central limit theorem which permit us to approximate distributions of normalized sums of independent random variables with an accuracy which exceeds by several orders of accuracy the estimates in the Berry-Esseen theorem.
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