Geodesic
Perturbed companions of Ostrowski type inequalities for $n$-times differentiable functions and applications
Problemy analiza, Tome 9 (2020) no. 2, pp. 45-57

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We firstly examine some inequalities obtained by using sets of complex-valued functions for functions whose high order derivatives are restricted. We also give some approximations for the functions whose derivatives up to the order $n-1$ $(n\geq 1)$ are continuous and whose the $n$th derivatives are of bounded variation. So, the results provide extensions of those presented in earlier works.
Keywords: function of bounded variation, perturbed Ostrowski type inequalities. 
@article{PA_2020_9_2_a2,
     author = {S. Erden},
     title = {Perturbed companions of {Ostrowski} type inequalities for $n$-times differentiable functions and applications},
     journal = {Problemy analiza},
     pages = {45--57},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_2_a2/}
}
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S. Erden. Perturbed companions of Ostrowski type inequalities for $n$-times differentiable functions and applications. Problemy analiza, Tome 9 (2020) no. 2, pp. 45-57. http://geodesic.mathdoc.fr/item/PA_2020_9_2_a2/