engleski

Mixed means and Hardy's inequality

Integral means of arbitrary order, with power weights, and their companion means are introduced and related mixed--means inequalities are derived. These results are then used in proving inequalities of Hardy and Levin--Cochran—Lee type. Also, new proofs of Hardy and Carleman inequality for finite and infinite series are given by using discrete mixed—means.

Mixed--means; Hardy inequality; Levin—Cochran--Lee inequality; Carleman inequality.

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