Opuscula Mathematica (Jan 2012)

On some inequality of Hermite-Hadamard type

  • Szymon Wąsowicz,
  • Alfred Witkowski

DOI
https://doi.org/10.7494/OpMath.2012.32.3.591
Journal volume & issue
Vol. 32, no. 3
pp. 591 – 600

Abstract

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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