Abstract
We state and prove three generalized results related to Ostrowski inequality by using differentiable functions which are bounded, bounded below only and bounded above only, respectively. From our proposed results we get number of established results as our special cases.
Some applications in numerical integration are also given which gives us some standard and nonstandard quadrature rules.
Publisher
Academia Romana Filiala Cluj
Reference23 articles.
1. W. G. Alshanti and G. V. Milovanovic, Double-sided inequalities of Ostrowski’s Type and some Applications, J. Computational Analysis and Applications, 28[4], (2020), pp. 724–736.
2. E. F. Beckenbach and R. Bellman, Springer-Verlag, Berlin-Gottinggon-Heidelberg,1961, https://doi.org/10.1007/978-3-642-64971-4
3. S. S. Dragomir, P. Cerone and J. Roumeliotis, A new generalization of Ostrowski integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, Appl. Math. lett. 13 No. 1, (2000), pp. 19–25, https://doi.org/10.1007/978-3-642-64971-4
4. W. Gautschi, Numerical Analysis: An Introduction, Birkahauser, Boston 1997
5. G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, 1934.
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