New characterizations of some mean-values

Journal of Mathematical Analysis and Applications

Volumn 202, Issue 1, 1996, Pages 333-348

  Haruki, Hiroshi ^a   Rassias, Themistocles M ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NONE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030586520     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0319     Document Type: Article

References (13)

1. 1. J. Aczél, "Lectures on Functional Equations and Their Applications," pp. 234-244, Academic Press, New York/London, 1966.
2. 2. J. Aczél, The notion of mean values, Norske Vid. Selsk. Forh. Trondheim 19 (1946), 83-86.
3. 3. J. Aczél and S. Fenyö, Über die Theorie der Mittelwerte, Acta Sci. Math. (Szeged) 11 (1946), 239-245.
4. 4. J. Aczél, I. Fenyö, and J. Horváth, Sur certaines classes de functionnelles, Portugal. Math. 8 (1949), 1-11.
5. 5. J. Arazy, T. Cleasson, S. Janson, and J. Peetre, Means and their iterations, in "Proceedings of the Nineteenth Nordic Congress of Mathematicians, Reykjavik, 1984," pp. 191-212.
6. 6. E. F. Beckenbach and R. Bellman, "Inequalities," Springer-Verlag, Berlin/Göttingen/Heidelberg, 1961.
7. 7. Z. Daróczy, A general inequality for means, Aequationes Math. 7 (1971), 16-21.
8. 8. Z. Daróczy, Über eine Klasse von Mittelwerten, Publ. Math. Debrecen 19 (1972), 211-217.
9. 9. C. F. Gauss, "Werke 10/1," pp. 172-292, Teubner, Leipzig, 1917.
10. 10. G. H. Hardy, J. E. Littlewood, and G. Pólya, "Inequalities," Cambridge Univ. Press, Cambridge, UK, 1959.
11. 11. H. Haruki, New characterizations of the arithmetic-geometric mean of Gauss and other well-known mean values, Publ. Math. Debrecen 38 (1991), 323-332.
12. 12. A. N. Kolmogoroff, Sur la notion de la moyenne, Atti Accad. Naz. Lincei Rend. 12 (1930), 388-391.
13. 13. L. Losonczi, On homogeneous mean-values, Aequationes Math. 356 (1978).