Opuscula Mathematica
Opuscula Math. 32, no. 3 (), 591-600
Opuscula Mathematica

On some inequality of Hermite-Hadamard type

Abstract. 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 Fejér type.
Keywords: convex function, Hermite-Hadamard inequality, Fejér inequality, simplex, approximate integration.
Mathematics Subject Classification: 26D15, 26A51, 26B25, 65D30, 65D32.
Cite this article as:
Szymon Wąsowicz, Alfred Witkowski, On some inequality of Hermite-Hadamard type, Opuscula Math. 32, no. 3 (2012), 591-600, http://dx.doi.org/10.7494/OpMath.2012.32.3.591
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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