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arXiv · 1509.01716

On a generalization of a theorem of Levin and Ste\v{c}kin and inequalities of the Hermite-Hadamard type

Teresa Rajba
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Abstract

We give new necessary and sufficient conditions for higher order convex ordering. These results generalize the Levin-Ste\v{c}kin theorem (1960) on convex ordering. The obtained results can be useful in the study of the Hermite-Hadamard type inequalities and in particular inequalities between the quadrature operators.

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Teresa Rajba. 2015-09-05. On a generalization of a theorem of Levin and Ste\v{c}kin and inequalities of the Hermite-Hadamard type. https://arxiv.org/abs/1509.01716

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