Linear operators inequality for n-convex functions at a point

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Abstract

We study necessary and sufficient conditions on linear operators A and B for inequality A f ≤ B f to hold for every function f that is n-convex at a point.

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Pečarić, J., Praljak, M., & Witkowski, A. (2015). Linear operators inequality for n-convex functions at a point. Mathematical Inequalities and Applications, 18(4), 1201–1217. https://doi.org/10.7153/mia-18-93

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