On the Jensen Functional and Strong Convexity
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In this note we describe some results concerning upper and lower bounds for the Jensen functional. We use several known and new results to shed light on the concept of a strongly convex function.
KeywordsJensen functional Strongly convex function
Mathematics Subject ClassificationPrimary 26B25 Secondary 26D15
The first author is grateful to Professors S. Abramovich and S.S. Dragomir for the interesting and productive mathematical discussions which have led to some of the questions this work is intended to answer.
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