Raşa, I. A note on Jessen’s inequality. (English) Zbl 0661.26008 Prepr., “Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1988, No. 6, 275-280 (1988). 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 Cited in 1 ReviewCited in 4 Documents MSC: 26D15 Inequalities for sums, series and integrals 26A51 Convexity of real functions in one variable, generalizations Keywords:positive linear functional; sublinear functional; Jessen’s inequality for convex functions PDFBibTeX XMLCite \textit{I. Raşa}, Prepr., ``Babeș-Bolyai'' Univ., Fac. Math. Phys., Res. Semin. 1988, No. 6, 275--280 (1988; Zbl 0661.26008)