The stability of Fréchet’s equation

• Autorzy: Zdráhal, T.
• Języki publikacji: EN

Abstrakty

EN

In this paper the Hyers - Ulam stability of Fréchet’s functional equation is dealt with. Our approach is motivated by results of L. Székelyhidi (see [2] and [3]) who pointed out that the classical Hyers's theorem on stability of this functional equation holds true (under an auxiliary hypothesis) for functions defined on amenable semigroups.

Słowa kluczowe

PL

równanie funkcyjne; twierdzenie Hyers'a; stabilność równania

EN

functional equation; Hyers theorem; stability of equation

• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 1998
• Tom: Vol. 4
• Strony: 16-21
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Zdráhal, T.

Bibliografia

• [1] Greenleaf, P.: Invariant means on topological groups, Van Nostrand, 1969.
• [2] Székelyhidi, L.: Note on Hyers's theorem, C. R. Math. Rep. Sci. Canada 8 (1986), 127-129.
• [3] Székelyhidi, L.: Fréchet’s equation and Hyers theorem on noncommutative semi-groups, Annal. Pol. Math. XLVIII (1988), 183-189.