On Some Stability Properties of Monomial Functions

• Autorzy: Budzik D.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

monomial function; stability problem

PL

funkcja jednomianowa; problem stabilności

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 17--23
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Budzik D.

• 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.