On a Jensen-Hosszu Equation I

• Autorzy: Zygfryd Kominek
• Języki publikacji: EN

Abstrakty

EN

We solve functional equation of the form f (x + y - xy) + f (xy) = Zf^-^) in the class of functions transforming the space of all reals into itself. We also prove that this equation is stable in the Hyers-Ulam's sense. (original abstract)

Słowa kluczowe

EN

Mathematics; Functions

PL

Matematyka; Funkcje

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2009
• Tom: 23
• Strony: 57--60

Twórcy

autor

Zygfryd Kominek

• Silesian University, Katowice, Poland

Bibliografia

• Albert M.A., Baker J.A., Functions with bounded n-th differences, Ann. Polon. Math. 43 (1983), 93-103.
• Hyers D.H., A note on Frechet's definition of "polynomes abstraits", Houston J. Math. 4 (1978), 359-362.
• Kuczma M., An Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equation and Jensen's Inequality, Silesian University and PWN, Warszawa- Kraków-Katowice, 1985.
• Whitney H., On functions with bounded n-th differences, J. Math. Pures Appl. (9) 36 (1957), 67-95.