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A companion for the Ostrowski and the generalised trapezoid inequalities

✍ Scribed by N.S. Barnett; S.S. Dragomir; I. Gomm

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
554 KB
Volume
50
Category
Article
ISSN
0895-7177

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Ostrowski and trapezoid type inequalitie
Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators
✍ N.S. Barnett; W.-S. Cheung; S.S. Dragomir; A. Sofo πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 442 KB

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.