Polynomial set-valued functions

• Autorzy: Joanna Szczawińska
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.

Słowa kluczowe

EN

polynomial set-valued functions; difference operators; biadditive functions; Jensen function

Kategorie tematyczne

• 39A70: Difference operators
• 54C60: Set-valued maps
• 26E25: Set-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 1
• Strony: 55-65

Daty

wydano

1996

otrzymano

1995-05-18

poprawiono

1996-06-07

Twórcy

autor

Joanna Szczawińska

• Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Bibliografia

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• [3] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, PWN and Uniw. Śl., Warszawa-Kraków-Katowice, 1985.
• [4] K. Nikodem, K-convex and K-concave set valued functions, Zeszyty Naukowe Politech. Łódzkiej, Mat. 559, Rozprawy Naukowe 114, 1989.
• [5] H. Rådström, An embedding theorem for spaces of convex sets, Proc. Amer. Math. Soc. 3 (1952), 165-169.
• [6] H. Rådström, One-parameter semigroups of subsets of a real linear space, Ark. Mat. 4 (1960), 87-97.
• [7] A. Smajdor, On a functional equation, Ann. Math. Sil. 8 (1994), 217-226.