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Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators

✍ Scribed by SS Dragomir, S Abelman

Book ID
120732620
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
230 KB
Volume
2013
Category
Article
ISSN
1025-5834

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📜 SIMILAR VOLUMES

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 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 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.