On some inequality of Hermite-Hadamard type

Details On some inequality of Hermite-Hadamard type On some inequality of Hermite-Hadamard type

2011-09-29

arxiv.org/abs/1109.6657v3

Mathematics

Functional Analysis

Submitted to Opuscula Math

Scientific paper

It is well-known that the left term of the classical Hermite-Hadamard
inequality is closer to the integral mean value than the right one. We show
that in the multivariate case it is not true. Moreover, we introduce some
related inequality comparing the methods of the approximate integration, which
is optimal. We also present its counterpart of Fejer type.

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