TY  - JOUR
ID  - Wąsowicz2012
LB  - Wąsowicz2012
AU  - Wąsowicz, Szymon
AU  - Witkowski, Alfred
TI  - On some inequality of Hermite-Hadamard type
ST  - On some inequality of Hermite-Hadamard type
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 3
SP  - 591
EP  - 600
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.3.591
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.3.591
AB  - 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.
KW  - convex function
KW  - Hermite-Hadamard inequality
KW  - Fejér inequality
KW  - simplex
KW  - approximate integration
SN  - 1232-9274
ER  -