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An inequality for linear positive functionals. (English) Zbl 0948.26013
Using properties of the functionals of simple form in the sense of T. Popoviciu, the authors obtain some inequalities for positive linear functionals on $$C[a,b]$$, generalizing an algebraic inequality of Feng Qi.
##### MSC:
 26D15 Inequalities for sums, series and integrals
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