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Sharp integral inequalities based on general Euler two-point formulae

Published online by Cambridge University Press:  17 February 2009

J. Pečarić ,
I. Perić  and
A. Vukelić
J. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: pecaric@mahazu.hazu.hr.
I. Perić
Affiliation:
Faculty of Food Technology and Biotechnology, Mathematics Department, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: iperic@pbf.hr and avukelic@pbf.hr.
A. Vukelić
Affiliation:
Faculty of Food Technology and Biotechnology, Mathematics Department, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: iperic@pbf.hr and avukelic@pbf.hr.
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Abstract

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We consider a family of two-point quadrature formulae, using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or R-integrable functions, are proved.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 4 , April 2005 , pp. 555 - 574
Copyright
Copyright © Australian Mathematical Society 2005

References

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