The stability of the second generalization of d'Alembert's functional equation

• Autorzy: Tyrała, I.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we study solutions of the second generalized d'Aleinbert's functional equation and its stability.

Słowa kluczowe

PL

równanie funkcyjne; trygonometria; stabilność równania

EN

functional equation; trigonometry

• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2008
• Tom: Vol. 13
• Strony: 81-92
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Tyrała, I.

• Institute of Mathematics and Computer Science. Jan Długosz University of Częstochowa al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland,

Bibliografia

• [1] J. Aczél. Lectures on Functional Equations and Their Applications. Academic Press, New York 1966.
• [2] J. Aczél, J. Dhombres. Functional Equations in Several Variables. Cambridge University Press, Cambridge 1989.
• [3] R. Badora, R. Ger. On some trigonometric functional inequalities. Functional Equations Results and Advances, Z. Daroczy, Z. Pales (Eds.), Kluwer Academic Publishers, Dordrecht, pp. 3 15, 2002.
• [4] J. A. Baker. The stability of the cosine equation. Proc. Amer. Math. Soc. 80, 411-416, 1980.
• [5] P. Kannappan. The functional equations f(xy) + f(xy)^-1 = 2 f (x) f (y) for groups. Proc. Amer. Math. Soc. 19, 69-74, 1968.
• [6] I. Tyrała. The stability of Wilson's first generalization of d'Alembert's functional equation. (Manuscript).
• [7] W.H. Wilson. On certain related functional equations. Bull. Amer. Math. Soc. 26, 300 312, 1919.