On Symmetrized and Wright convexity

Hamid Moradi, Shigeru Furuichi, Mohammad Sababheh

Abstract


In this paper, we study symmetrized convex functions and their relations with other notions of convexity, namely Wright convexity; then, we introduce the notion of symmetrized log-convexity. Our results include equivalent statements and extensions of certain existing results in the literature. Applications that involve Hermite-Hadamard and means' inequalities will be presented.

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