Stability of trigonometric functional equations in generalized functions

DOI10.1155/2010/801502zbMath1187.39034OpenAlexW1993295630WikidataQ59251602 ScholiaQ59251602MaRDI QIDQ962526

Jae-Young Chung, Jeongwook Chang

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222643

zbMATH Keywords

Hyers-Ulam stabilitySchwartz distributionsgeneralized functionstrigonometric functional equationsFourier hyperfunctionsGelfand generalized functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82) Hyperfunctions, analytic functionals (46F15) Functional equations for complex functions (39B32)

Related Items (3)

On the stability of trigonometric functional equations in distributions and hyperfunctions ⋮ Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Ulam problem for the sine addition formula in hyperfunctions

Cites Work

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• The stability of d'Alembert and Jensen type functional equations
• Stability problem for Jensen-type functional equations of cubic mappings
• Boundedness of approximate trigonometric functions
• On a functional equation of Aczél and Chung
• Stability of functional equations in the spaces of distributions and hyperfunctions.
• On the stability of functional equations in Banach spaces
• The stability of d'Alembert's functional equation
• A distributional version of functional equations and their stabilities
• On the stability of the pexiderized trigonometric functional equation
• Distributional method for the D'Alembert equation
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• The Stability of the Cosine Equation
• On the Stability of the Linear Mapping in Banach Spaces
• Über eine Lösungsmethode gewisser Funktionalgleichungen
• The Stability of the Sine and Cosine Functional Equations
• Multiplicative Transpormations
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

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