On some inequality of Hermite-Hadamard type

Szymon Wąsowicz, Alfred Witkowski
2012 Opuscula Mathematica  
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.
doi:10.7494/opmath.2012.32.3.591 fatcat:44qndwfrqrcrzmut75gedppxoq