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
J. Pecaric
  Faculty of Textile Technology
  University of Zagreb
  Pierottijeva 6
  10000 Zagreb

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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