Generalizations of the Jensen-Steffensen and related inequalities
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We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
KeywordsConvex functions Jensen-Steffensen inequality Slater’s inequality
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