Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We deal with the system of functional equations connected with additive and quadratic mappings. We correct some mistakes made in the paper [W. Fechner, On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings, J. Math. Anal. Appl. 322 (2006), 774–786] and provide accurate statements of those results. Moreover, we get the improvement of the Hyers-Ulam stability result of the considered system of functional equations.
Rocznik
Tom
Strony
93--98
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Institute of Mathematics, Silesian University of Technology, Gliwice, Poland
Bibliografia
- 1. Aczél J., Dhombres J.: Functional Equations in Several Variables. Encyclopedia Math. Appl., vol. 31. Cambridge Univ. Press, Cambridge 1989.
- 2. Drygas H.: Quasi-inner products and their applications. In: Advances in Multivariate Statistical Analysis, Theory and Decision Library (Series B: Mathematical and Statistical Methods), vol. 5, Gupta A.K. (ed.). Springer, Dordrecht 1987, 13–30.
- 3. Ebanks B.R., Kannappan Pl., Sahoo P.K.: A common generalization of functional equations characterizing normed and quasi-inner-product spaces. Canad. Math. Bull. 35 (1992), 321–327.
- 4. Fechner W.: On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings. J. Math. Anal. Appl. 322 (2006), 774–786.
- 5. Sikorska J.: On a direct method for proving the Hyers-Ulam stability of functional equations. J. Math. Anal. Appl. 372 (2010), 99–109.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c85bc082-50fd-4e63-aeb4-d77b656cc728