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Konferencja
Proceedings of the IX Conference "Applications of algebra" (9 ; 07-13.03.2005 ; Zakopane, Poland)
Języki publikacji
Abstrakty
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.
Rocznik
Tom
Strony
33--39
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- 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.
Typ dokumentu
Bibliografia
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