engleski

Measure theoretic improvement of an extension of Holder-type inequality

In this talk we use simple modification of generalization of Steffensen's inequality obtained by Perace and Pečarić in 1995 for positive measures to obtain an extension of Holder-type inequality for positive, finite measures. By using log-convexity of related linear functionals we give some further improvements of an extension of Holder-type inequality in a measure theoretic sense.

Holder's inequality ; Steffensen's inequality ; positive measures ; exponential convexity ; log-convexity

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