engleski

On Some Improvements of Hoelder's Inequality

Hoelder's inequality, expressed in terms of positive linear functionals acting on the linear space of real-valued functions is analyzed in view of superadditivity and monotonicity properties of the Jensen-type functionals, on the set of nonnegative (weight) functions. Obtained non-weighted bounds for these functionals resulted in new refinements and converses of Hoelder's inequality.

Hoelder's inequality; Jensen's inequality; Jessen's functional

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