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On the Approximate Solution of Hosszu's Functional Equation
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نویسنده
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Bouikhalene B. ,Rassias J. M. ,Charifi A. ,Kabbaj S.
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منبع
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international journal of nonlinear analysis and applications - 2012 - دوره : 3 - شماره : 1 - صفحه:40 -44
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چکیده
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We show that every approximate solution of the hosszu's functional equation f(x + y + xy) = f(x) + f(y) + f(xy) for any x, y ϵ r, is an additive function and also we investigate the hyers-ulam stability of this equation in the following setting ǀf(x + y + xy) - f(x) - f(y) - f(xy)ǀ ≤ δ+φ (x, y) for any x, y ϵ r and δ > 0.
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کلیدواژه
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Additive Function ,Hosszu's Functional Equation ,Hyers-Ulam Stability.
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آدرس
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University Sultan Moulay Slimane, Polydisciplinary Faculty, Departement of Mathematics, Laboratory LIRST, Morocco, National and Capodistrian University of Athens, Section of Mathematics and Informatics, Greece, University of Ibn Tofail, Faculty of Sciences, Departement of Mathematics, Morocco, University of Ibn Tofail, Faculty of Sciences, Departement of Mathematics, Morocco
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پست الکترونیکی
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samkabaj@yahoo.fr
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Authors
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