Stability of generalized quadratic functional equation on a set of measure zero
Youssef Aribou ; Hajira Dimou ; Abdellatif Chahbi ; Samir Kabbaj
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 14 (2015), / Harvested from The Polish Digital Mathematics Library
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In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:276432 
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     author = {Youssef Aribou and Hajira Dimou and Abdellatif Chahbi and Samir Kabbaj},
     title = {Stability of generalized quadratic functional equation on a set of measure zero},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     volume = {14},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2015-0011}
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Youssef Aribou; Hajira Dimou; Abdellatif Chahbi; Samir Kabbaj. Stability of generalized quadratic functional equation on a set of measure zero. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 14 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2015-0011/