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A note on Jessen’s inequality. (English) Zbl 0661.26008

Two new proofs of Jessen’s inequality for convex functions are given. It is shown that Jessen’s inequality can be invalid if a convex function is not continuous.
Some related inequalities are also proved.
Reviewer: J.E.Pečarić

MSC:

26D15 Inequalities for sums, series and integrals
26A51 Convexity of real functions in one variable, generalizations
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