Approximate Drygas mappings on a set of measure zero

Let R be the set of real numbers, Y be a Banach space and f : R →Y. We prove the Hyers-Ulam stability for the Drygas functional equation f (x + y) + f (x - y) = 2f (x) + f (y) + f (-y) for all (x, y) ∈ Ω, where Ω⊂ R² is of Lebesgue measure 0.

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Autor principal:	Almahalebi,Muaadh
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2016
Materias:	Drygas functional equation stability Baire category theorem First category Lebesgue measure
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200007
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spelling	oai:scielo:S0716-091720160002000072016-05-30Approximate Drygas mappings on a set of measure zeroAlmahalebi,Muaadh Drygas functional equation stability Baire category theorem First category Lebesgue measure Let R be the set of real numbers, Y be a Banach space and f : R →Y. We prove the Hyers-Ulam stability for the Drygas functional equation f (x + y) + f (x - y) = 2f (x) + f (y) + f (-y) for all (x, y) ∈ Ω, where Ω⊂ R² is of Lebesgue measure 0.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.2 20162016-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200007en10.4067/S0716-09172016000200007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Drygas functional equation stability Baire category theorem First category Lebesgue measure
spellingShingle	Drygas functional equation stability Baire category theorem First category Lebesgue measure Almahalebi,Muaadh Approximate Drygas mappings on a set of measure zero
description	Let R be the set of real numbers, Y be a Banach space and f : R →Y. We prove the Hyers-Ulam stability for the Drygas functional equation f (x + y) + f (x - y) = 2f (x) + f (y) + f (-y) for all (x, y) ∈ Ω, where Ω⊂ R² is of Lebesgue measure 0.
author	Almahalebi,Muaadh
author_facet	Almahalebi,Muaadh
author_sort	Almahalebi,Muaadh
title	Approximate Drygas mappings on a set of measure zero
title_short	Approximate Drygas mappings on a set of measure zero
title_full	Approximate Drygas mappings on a set of measure zero
title_fullStr	Approximate Drygas mappings on a set of measure zero
title_full_unstemmed	Approximate Drygas mappings on a set of measure zero
title_sort	approximate drygas mappings on a set of measure zero
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200007
work_keys_str_mv	AT almahalebimuaadh approximatedrygasmappingsonasetofmeasurezero
_version_	1718439814022299648

Approximate Drygas mappings on a set of measure zero

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