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Refinements of the lower bounds of the Jensen functional. (English) Zbl 1225.26041
Summary: The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.
MSC:
26D15Inequalities for sums, series and integrals of real functions