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Hadamard's inequality and Trapezoid Rules for the Riemann–Stieltjes integral

✍ Scribed by Peter R. Mercer

Book ID
108178177
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
103 KB
Volume
344
Category
Article
ISSN
0022-247X

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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 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 442 KB

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.