The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

Weighted Generalization of the Trapezoidal Rule via Fink Identity

Author(s):

S. Kovač, J. Pečarić and A. Vukelić

Faculty of Geotechnical Engineering, University of Zagreb,
Hallerova aleja 7, 42000 Vara
din,
Croatia.
sanja.kovac@gtfvz.hr

Faculty of Textile Technology, University of Zagreb,
Pierottijeva 6, 10000 Zagreb,
Croatia.
pecaric@hazu.hr

Faculty of Food Technology and Biotechnology, Mathematics department, University of Zagreb,
Pierottijeva 6, 10000 Zagreb,
Croatia.
avukelic@pbf.hr


Abstract:

The weighted Fink identity is given and used to obtain generalized weighted trapezoidal formula for n-time differentiable functions. Also, an error estimate is obtained for this formula.

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