Geodesic
A generalized integral inequality for twice differentiable mappings
Kragujevac Journal of Mathematics, Tome 32 (2009) no. 1

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, a general form of integral inequality of Ostrowski type for twice differentiable mappings whose second derivatives are bounded and first derivatives are absolutely continuous is established. The generalized integral inequality points some better estimates than some already presented bounds. The inequality is then applied to numerical integration and special means. 
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     author = {Fiza Zafar and Nazir Ahmad Mir},
     title = {A generalized integral inequality for twice differentiable mappings},
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     pages = {81 - 96},
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     volume = {32},
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     year = {2009},
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Fiza Zafar; Nazir Ahmad Mir. A generalized integral inequality for twice differentiable mappings. Kragujevac Journal of Mathematics, Tome 32 (2009) no. 1. http://geodesic.mathdoc.fr/item/KJM_2009_32_1_a7/