Abstract. Some reverse Hölder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [2-5], [14]). In this paper we prove a sharp multidimensional integral inequality of this type. It is pointed out that this inequality may be regarded as a unification and extension of many inequalities of this type including some recent results in [1] and [11].
AMS Subject Classification
(1991): 26D15, 26D07, 26D20
Keyword(s):
Inequalities,
integral inequalities,
reverse Hölder inequalities,
monotone functions,
several variables,
best constants
Received October 10, 1995 and in revised form April 10, 1996. (Registered under 6124/2009.)
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