Asymptotic properties of solutions of some interative functional inequalities

• Autorzy: Brydak D. , Choczewski B. , Czerni M.
• Języki publikacji: EN

Abstrakty

EN

Continuous solutions of iterative linear inequalities of the first and second order are considered, belonging to a class Fτ of functions behaving at the origin as a prescribed function T.

Słowa kluczowe

EN

functional inequalities; continuous solutions; test function; asymptotic behavior

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 4
• Strony: 441--452
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Brydak D.

autor

Choczewski B.

autor

Czerni M.

• Pedagogical University of Cracow, Department of Mathematics, ul. Podchorążych 2, 30-084 Kraków, Poland,

Bibliografia

• [1] D. Brydak, On functional inequalities in a single variable, Dissertationes Math. 160 (1979).
• [2] B. Choczewski, Solutions of linear iterative functional equations behaving like the forcing term in the equation, Aequationes Math. 60 (2000), 308–314.
• [3] B. Choczewski, M. Czerni, Solutions of linear nonhomogeneous functional equation in some special class of functions, Aequationes Math (to appear).
• [4] B. Choczewski, M. Kuczma, On the “indeterminate case” in the theory of a linear functional equation, Fund. Math. 58 (1966), 163–175.
• [5] M. Kuczma, B. Choczewski, R. Ger, Iterative Functional Equations, Encyclopedia of Mathematics and Its Applications 32, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney, 1990.
• [6] M. Stopa, On the form of solutions of some iterative functional inequality, Publ. Math. (Debrecen) 45 (1994), 371–377.