ANZIAM  J.  46 (2005), 417-438

On Euler midpoint formulae

Lj. Dedic   Department of Mathematics   Faculty of Natural Sciences   Mathematics and Education   University of Split   Teslina 12, 21000 Split   Croatia     ljuban@pmfst.hr M. Matic   Department of Mathematics   Faculty of Natural Sciences   Mathematics and Education   University of Split   Teslina 12, 21000 Split   Croatia     mmatic@pmfst.hr and J. Pecaric   Faculty of Textile Technology   University of Zagreb   Pierottijeva 6   10000 Zagreb   Croatia     pecaric@element.hr

Abstract

Modified versions of the Euler midpoint formula are given for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or functions in -spaces. The results are applied to quadrature formulae.

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