New properties of some mean values

Journal of Mathematical Analysis and Applications

Volumn 232, Issue 2, 1999, Pages 376-383

  Toader, Gheorghe ^a   Rassias, Themistocles M ^b  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000182411     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6278     Document Type: Article

References (9)

1. Bullen P. S., Mitrinović D. S., Vasić P. M. Means and Their Inequalities. 1988;Reidel, Dordecht.
2. Carlson B. C. Invariance of an integral average of a logarithm. Amer. Math. Monthly. 82:1975;379-382.
3. Gradshteyn I. S., Ryzhik I. M. Tables of Integrals, Series and Products. 1994;Academic Press, New York.
4. Haruki H. New characterizations of the arithmetic-geometric mean of Gauss and other well-known mean values. Publ. Math. Debrecen. 38:1991;323-332.
5. Haruki H., Rassias T. M. New characterizations of some mean-values. J. Math. Anal. Appl. 202:1996;333-348.
6. Haruki H., Rassias T. M. A new analogue of Gauss' functional equation. Internat. J. Math. Math. Sci. 18:1995;749-756.
7. Polya G., Szegö G. Isoperimetric Inequalities in Mathematical Physics. Annals of Math. Studies 27. 1951;Princeton Univ. Press, Princeton.
8. Toader Gh. Some mean values related to the arithmetic-geometric mean. J. Math. Anal. Appl. 218:1998;358-368.
9. Whittaker E. T., Watson G. N. A Course of Modern Analysis. 1927;Cambridge Univ. Press, Cambridge.