Generalizations of theorems of J. Aczél and R. Ger and T. Kochanek
Tóm tắt
We present a result which generalizes a theorem proved by Aczél (Bull Am Math Soc 54:392–400, 1948). Hence we obtain generalizations of a theorem proved by Ger and Kochanek (Colloq Math 115:87–99, 2009).
Tài liệu tham khảo
J. Aczél, On mean values. Bull. Am. Math. Soc. 54, 392–400 (1948)
M. Balcerowski, Solution of a problem of Z. Daróczy, J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochanek. Acta Math. Hungar. 155, 241–247 (2018)
R. Ger, T. Kochanek, An inconsistency equation involving means. Colloq. Math. 115, 87–99 (2009)
G.H. Hardy, J.E. Littlewood, G. Pólya, Inequalities (Cambridge University Press, Cambridge, 1934)