On the intersection of two-parameter mean value families
作者： Horst Alzer , Stephan Ruscheweyh
DOI: 10.1090/S0002-9939-01-06050-6
关键词:
摘要: We determine all means which are in the intersection of two multivariable two-parameter mean value families. These families were introduced by C. Gini (1938) and K.B. Stolarsky (1975).
ams.org
unirioja.es
sci-hub.se 参考文章(16)
Gábor Szegő, George Polya, Isoperimetric inequalities in mathematical physics ,(1951)
Zsolt Páles, Comparison of two variable homogeneous means International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. pp. 59- 70 ,(1992) , 10.1007/978-3-0348-7565-3_6
László Losonczi, Zsolt Páles, Minkowski’s inequality for two variable difference means Proceedings of the American Mathematical Society. ,vol. 126, pp. 779- 789 ,(1998) , 10.1090/S0002-9939-98-04125-2
D.H Lehmer, On the compounding of certain means Journal of Mathematical Analysis and Applications. ,vol. 36, pp. 183- 200 ,(1971) , 10.1016/0022-247X(71)90029-1
H.W. Gould, M.E. Mays, Series expansions of means Journal of Mathematical Analysis and Applications. ,vol. 101, pp. 611- 621 ,(1984) , 10.1016/0022-247X(84)90125-2
Janusz Matkowski, Mowaffaq Hajja, Peter S. Bullen, Slavko Simic, Edward Neuman, Means and Their Inequalities ,(1988)
E.B Leach, M.C Sholander, Multi-variable extended mean values Journal of Mathematical Analysis and Applications. ,vol. 104, pp. 390- 407 ,(1984) , 10.1016/0022-247X(84)90003-9
Zsolt Páles, Inequalities for sums of powers Journal of Mathematical Analysis and Applications. ,vol. 131, pp. 265- 270 ,(1988) , 10.1016/0022-247X(88)90204-1
E.B Leach, M.C Sholander, Extended mean values II Journal of Mathematical Analysis and Applications. ,vol. 92, pp. 207- 223 ,(1983) , 10.1016/0022-247X(83)90280-9
Zsolt Páles, Inequalities for differences of powers Journal of Mathematical Analysis and Applications. ,vol. 131, pp. 271- 281 ,(1988) , 10.1016/0022-247X(88)90205-3