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Generalized Hadamard's inequalities based on general Euler 4-point formulae

Published online by Cambridge University Press:  17 February 2009

M. Klaričić Bakula  and
J. Pečarić
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Abstract

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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 ≥ 1).

Keywords

Euler formulaequadrature rulesHadamard's inequalitiesconvex functions.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 3 , January 2007 , pp. 387 - 404
Copyright
Copyright © Australian Mathematical Society 2007

References

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