Nearly Quadratic Mappings over p-Adic Fields

We establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.

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Main Authors: M. Eshaghi Gordji, H. Khodaei, Gwang Hui Kim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/285807
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author M. Eshaghi Gordji
H. Khodaei
Gwang Hui Kim
author_facet M. Eshaghi Gordji
H. Khodaei
Gwang Hui Kim
author_sort M. Eshaghi Gordji
collection DOAJ
description We establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-8a0cb5bf4f3445d49d7c1ba0e0fcd8e22025-02-03T01:28:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/285807285807Nearly Quadratic Mappings over p-Adic FieldsM. Eshaghi Gordji0H. Khodaei1Gwang Hui Kim2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of KoreaWe establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.http://dx.doi.org/10.1155/2012/285807
spellingShingle M. Eshaghi Gordji
H. Khodaei
Gwang Hui Kim
Nearly Quadratic Mappings over p-Adic Fields
Abstract and Applied Analysis
title Nearly Quadratic Mappings over p-Adic Fields
title_full Nearly Quadratic Mappings over p-Adic Fields
title_fullStr Nearly Quadratic Mappings over p-Adic Fields
title_full_unstemmed Nearly Quadratic Mappings over p-Adic Fields
title_short Nearly Quadratic Mappings over p-Adic Fields
title_sort nearly quadratic mappings over p adic fields
url http://dx.doi.org/10.1155/2012/285807
work_keys_str_mv AT meshaghigordji nearlyquadraticmappingsoverpadicfields
AT hkhodaei nearlyquadraticmappingsoverpadicfields
AT gwanghuikim nearlyquadraticmappingsoverpadicfields