On the Weighted Ostrowski-type Integral Inequality for Double Integrals
β Scribed by Mehmet Zeki Sarikaya; Hasan Ogunmez
- Book ID
- 107702113
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 233 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1319-8025
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π SIMILAR VOLUMES
An Ostrowski type inequality for a double integral is derived via a ββ-integral on time scales; this generalizes an Ostrowski type inequality and some related results from Liu et al. ( 2010) [1]. Some new applications are also given.
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.
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.