Distributional Taylor formula

DOI10.1016/J.NA.2008.04.022zbMath1175.46028OpenAlexW2069192438MaRDI QIDQ1009635

George A. Anastassiou

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.022

zbMATH Keywords

distributionintegral remainderdistributional Taylor formula

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functions of several variables (26B99)

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Cites Work

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• The asymptotic expansion of certain multi-dimensional generalized functions
• Sobolev's integral representation and Taylor's formula
• Taylor expansion for generalized functions
• A distributional approach to the boundary layer theory
• Pre-asymptotic expansions
• Taylor expansions for distributions
• A distributional theory for asymptotic expansions
• On some estimates of the remainder in Taylor's formula

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