A characterization of Lp-norm with the aid of equality condition in the holder inequality

• Autorzy: Matkowski J. , Ratz J.
• Języki publikacji: EN

Słowa kluczowe

EN

measure space; integrable simple function; equality in Holder's inequality

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 1
• Strony: 165--170
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Matkowski J.

• Institute of Mathematics, Pedagogical University, PI. Słowiański 9, 65-069 Zielona Góra

autor

Ratz J.

• Institute of Mathematics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

Bibliografia

• [1] J. Aczél, Lectures on Functional Equations and their Applications, Academic Press, New York-London, 1966.
• [2] M. Kuczma, An introduction to the theory of functional equations and inequalities, Cauchy's equation and Jensen's inequality, Prace Nauk. Uniw. Śl. 489, Polish Scientific Publishers, Warszawa - Kraków - Katowice, 1985.
• [3] J. Matkowski, On a-Wright convexity and the converse of Minkowski's inequality, Aequationes Math. 43 (1992), 106-112.
• [4] J. Matkowski, The converse of the Holder inequality and its generalizations, Studia Math. 109 (2) (1994), 171-182.
• [5] J. Matkowski and J. Rätz, On the equality condition in Holder's and Minkowski's inequalities, Aequationes Math. 46 (1993), 220-228.
• [6] J. Matkowski and J. Rätz, Equality in Minkowski inequality and a characterization of the norm, Demonstratio Math. 30 (1) (1997), 53-62.