# Minkowski-Clarkson's like Inequalities

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 44, (2014), **Pages** 107-111

**Romeo Meštrović**

Maritime Faculty,

University of Montenegro,

Dobrota 36,

85330 Kotor,

Montenegro.

**Abstract** In this note we establish
some Minkowski-Clarkson's like inequalities
related to two finite sequences of real nonnegative numbers.
In particular, we prove two inequalities
which in some sense can be regarded as inverse
Minkowski's inequalities concerning
the cases and 0 < *p* < 1.
Moreover, for 1 < *p* < 2 we prove another Minkowski-Clarkson's
type inequality.

**Keywords** Minkowski's inequality, Clarkson's inequality, *l*_{p} space, inverse Minkowski's type inequality, inequality
for power means.

**Classification** (MSC2000) 26D15, 46B20.

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