✦ LIBER ✦

Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators

✍ Scribed by N.S. Barnett; W.-S. Cheung; S.S. Dragomir; A. Sofo

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 442 KB
Volume: 57
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.07.021

No coin nor oath required. For personal study only.

✦ Synopsis

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lipschitzian integrators for both Hölder continuous and monotonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.

📜 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.

The Ostrowski type moment integral inequ

The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables

✍ P. Kumar 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 535 KB

We estabhsh Ostrowskl type integral mequahtms revolving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we dmcuss apphcations of these bounds to the Euler's beta mappings and illustrate their behaviour (~) 2005