Geodesic
A generalized integral inequality for twice differentiable mappings
Kragujevac Journal of Mathematics, Tome 32 (2009), p. 81

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.
Classification : 26D15 41A55
Keywords: Ostrowski inequality, Numerical integration, Special means 
@article{KJM_2009_32_a7,
     author = {Fiza Zafar and Nazir Ahmad Mir},
     title = {A generalized integral inequality for twice differentiable mappings},
     journal = {Kragujevac Journal of Mathematics},
     pages = {81 },
     publisher = {mathdoc},
     volume = {32},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2009_32_a7/}
}
TY  - JOUR
AU  - Fiza Zafar
AU  - Nazir Ahmad Mir
TI  - A generalized integral inequality for twice differentiable mappings
JO  - Kragujevac Journal of Mathematics
PY  - 2009
SP  - 81 
VL  - 32
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2009_32_a7/
LA  - en
ID  - KJM_2009_32_a7
ER  - 
%0 Journal Article
%A Fiza Zafar
%A Nazir Ahmad Mir
%T A generalized integral inequality for twice differentiable mappings
%J Kragujevac Journal of Mathematics
%D 2009
%P 81 
%V 32
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2009_32_a7/
%G en
%F KJM_2009_32_a7
Fiza Zafar; Nazir Ahmad Mir. A generalized integral inequality for twice differentiable mappings. Kragujevac Journal of Mathematics, Tome 32 (2009), p. 81 . http://geodesic.mathdoc.fr/item/KJM_2009_32_a7/