Generalized Integral Means Preserving Integral Convexity of Higher Orders

• Autorzy: Czyba E.
• Konferencja: Proceedings of the IX Conference "Applications of algebra" (9 ; 07-13.03.2005 ; Zakopane, Poland)
• Języki publikacji: EN

Abstrakty

EN

Some generalizations of the classical integral means are characterized. Such type characterizations are obtained by requiring that the corresponding integral operator preserves given function classes.

Słowa kluczowe

EN

integral; functions

PL

całka; funkcje

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2005
• Tom: Vol. 10
• Strony: 33--39
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Czyba E.

• Institute of Mathematics and Computer Science Jan Długosz University of Częstochowa, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

Bibliografia

• [1] E. Dappa. A characterization of a generalized integral mean preserving convexity. Analyse Numer. Theor. Approx., 25, 1-2 pp. 93-99, 1996.
• [2] M. Kuczma. An Introduction to the Theory of Functional Equations and Inequalities. PWN-UŚl., Warszawa-Kraków-Katowice, 1985.
• [3] J.B. Lacković. Doctoral dissertation quoted in [7].
• [4] C. Mocanu. Doctoral dissertation, "Babes-Bolyai" University, Cluj Napoca, 1982 .
• [5] L. Székelyhidi. Convolution Type Functional Equations on Topological Abelian Groups. World Scientific, Singapore-New Jersey London-Hong Kong, 1991.
• [6] Gh. Toader. On the hierarchy of convexity of functions. Analyse Numer. Theor. Approx., 15, 2, pp. 167-172, 1986.
• [7] Gh. Toader. A hierarchy of convexity of higher order of functions. Mathematica, 35(58), 1, pp. 93-98, 1993.