A simple characterization of Wright-convexity and applications

Dan-Stefan Marinescu, Mihai Monea, Cristinel Mortici

Abstract


In this work we present simple characterizations of W-convex and W-log-convex functions. As applications, we give short proofs for integral forms of Hermite-Hadamard or Levin-Stečkin inequalities. We also give a characterization theorem for normed spaces with scalar product.

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