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Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation

✍ Scribed by Sever S. Dragomir

Publisher
Springer
Year
2008
Tongue
English
Weight
146 KB
Volume
91
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

A companion for the Ostrowski and the ge
A companion for the Ostrowski and the generalised trapezoid inequalities
✍ N.S. Barnett; S.S. Dragomir; I. Gomm πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 554 KB

A companion for the Ostrowski and the generalised trapezoid inequalites for various classes of functions, including functions of bounded variation, Lipschitzian, convex and absolutely continuous functions is established. Applications for weighted means are also given.

On Ostrowski type inequalities for Stiel
On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation
✍ P. Cerone; W.S. Cheung; S.S. Dragomir πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 222 KB

Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when | f | is convex is explored. Applications for the mid-point rule and a generalised trapezoid type rule are also presented.