On the superstability of the cosine and sine type functional equations
Fouad Lehlou ; Mohammed Moussa ; Ahmed Roukbi ; Samir Kabbaj
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016), / Harvested from The Polish Digital Mathematics Library
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In this paper, we study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) f(xσ(y)a)+f(xya)=2f(x)f(y) and f(xσ(y)a)−f(xya)=2f(x)f(y), f(xσ(y)a)-f(xya)=2f(x)f(y), where f : S → ℂ is a complex valued function; S is a semigroup; σ is an involution of S and a is a fixed element in the center of S.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:287081 
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     author = {Fouad Lehlou and Mohammed Moussa and Ahmed Roukbi and Samir Kabbaj},
     title = {On the superstability of the cosine and sine type functional equations},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     volume = {15},
     year = {2016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0010}
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Fouad Lehlou; Mohammed Moussa; Ahmed Roukbi; Samir Kabbaj. On the superstability of the cosine and sine type functional equations. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0010/