ACTA issues

Strong Hölder and Minkowski inequalities for quasiarithmetic means

Zsolt Páles

Acta Sci. Math. (Szeged) 65:3-4(1999), 493-503

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.)