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Konferencja
X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
Języki publikacji
Abstrakty
A map M defined on a semigroup (group, Banach space etc.) and taking values in an Abelian group is called monomial of degree at most n whenever [formula]. We deal with the following stability problem for monomial mappings: given two functions F and ƒ satisfying the inequality [formula], we are looking for conditions admitting the existence of a nonnegative constant α such that [formula].
Rocznik
Tom
Strony
17--23
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Institute of Mathematics and Computer Science Pedagogical University of Częstochowa, Al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland
Bibliografia
- [1] D. Budzik, Stability properties of monomial functions, Commentationes Mathematicae XLIl(2), 183-198, 2002.
- [2] J. Dieudonné, Foundations of Modern Analysis, Academic Press, New York and London, 1969.
- [3] R. Ger, On functional inequalities stemming from stability questions, International Series of Numerical Mathematics, Vol. 103, Brikhaüser Verlag, Bassel, 227-240, 1992.
- [4] M. Kuczma, An. Introduction to the Theory of Functional Equations and Iequalities, Polish Scientific Publisher and Uniwersytet Śląski, Warszawa-Kraków-Katowice, 1985.
- [5] L. Székelyhidi, Convolution Type Functionol Equations on Topological Abelian Groups, World Scientific, Singapore-New Jersey-London-Hong Kong, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff219ea7-003b-4a83-a0d2-1bdd384a79c4