Inequalities of the majorisation type for convex functions and Stieltjes integrals are given. Applications for some particular convex functions of interest are also presented.
Inequalities for Stieltjes integrals with convex integrators and applications
β Scribed by Sever S. Dragomir
- Book ID
- 108052255
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 150 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
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.
Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lipschitzian integrators for both HΓΆlder continuous and monotonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.