Generalized Hyers-Ulam Stability for a General Mixed Functional Equation in Quasi-��-normed Spaces |
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| Authors: | G Zamani Eskandani Pasc Gavruta John M Rassias Ramazan Zarghami |
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| Institution: | 1. Faculty of Sciences, Department of Mathematics, University of Tabriz, Tabriz, Iran
2. Department of Mathematics, University ??Politehnica?? of Timisoara, Piata Victoriei No. 2, 300006, Timisoara, Romania
3. Pedagogical Department E.E., National and Capodistrian University of Athens, 4 Agamemnonos Street, Aghia Paraskevi, Athens, 15342, Greece
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| Abstract: | In this paper, we establish the general solution and investigate the generalized Hyers-Ulam stability of the following mixed
additive and quadratic functional equation
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f(lx + y) + f(lx - y) = f(x + y) + f(x - y) + (l- 1)(l+2)f(x) + lf(-x)],f(\lambda x + y) + f(\lambda x - y) = f(x + y) + f(x - y) + (\lambda - 1)(\lambda +2)f(x) + \lambda f(-x)], |
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