An approximation property of exponential functions

DOI10.1007/s10474-009-8167-1zbMath1224.41061OpenAlexW1965943437MaRDI QIDQ1046927

Jung, Soon-Mo

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8167-1

zbMATH Keywords

exponential functionapproximationHyers-Ulam stabilitypower series methodlinear first order differential equationlocal Hyers-Ulam stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Approximation by other special function classes (41A30)

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Cites Work

• On some inequalities and stability results related to the exponential function
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy
• Stability of functional equations in several variables
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