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Two-Point Ostrowski’s Inequality

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Abstract

In this work, a general two-point Ostrowski’s formula from an analytic point of view is presented. New triangle type inequalities for Riemann–Stieltjes integrals are established. Sharp two-point Ostrowski’s type inequalities for functions of bounded p-variation and functions satisfy Lipschitz condition involving \(L^p\)-bounds \((1\le p \le \infty )\) are proved. Some sharp inequalities ramified from the presented inequalities are also obtained.

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Acknowledgements

The author wish to thank the anonymous referee for his careful reading and for providing fruitful comments that helped improving the presentation of this article.

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  1. Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, P.O. Box 2600 , Irbid, 21110, Jordan

    Mohammad W. Alomari

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Alomari, M.W. Two-Point Ostrowski’s Inequality. Results Math 72, 1499–1523 (2017). https://doi.org/10.1007/s00025-017-0720-6

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