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Abstract. In this paper Hölder and Minkowski type inequalities are considered for quasiarithmetic means. The situation when these inequalities are consequences of the classical Hölder and Minkowski inequalities for power means is characterized. The proofs involve some recent results of the author on the separation of quasiarithmetic means by power means.
AMS Subject Classification
(1991): 26D15, 26A51
Keyword(s):
Quasiarithmetic means,
Power means,
Separation,
Hölder and Minkowski-type inequalities
Received October 29, 1998. (Registered under 2697/2009.)
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