On a generalization of a theorem of Levin and Stečkin and inequalities of the Hermite-Hadamard type

2015/09/05 by Rajba, Teresa
#26A51 #26D10 #60E15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.01716

Abstract

We give new necessary and sufficient conditions for higher order convex ordering. These results generalize the Levin-Stečkin 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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