ANZIAM  J.  48 (2007), 387-404
Generalized Hadamard's inequalities based on general Euler 4-point formulae

M. Klaricic Bakula
  Department of Mathematics
  Faculty of Natural Sciences
  Mathematics and Education
  University of Split
  Teslina 12
  21000 Split
  Croatia
    milica@pmfst.hr
and
J. Pecaric
  Faculty of Textile Technology
  University of Zagreb
  Pierottijeva 6
  10000 Zagreb
  Croatia
    pecaric@hazu.hr


Abstract
We present a general closed 4-point quadrature rule based on Euler-type identities. We use this rule to prove a generalization of Hadamard's inequalities for $(2r)$-convex functions $(r\geq1)$.
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