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**Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications.**
*(English)*
Zbl 1473.26017

Summary: We firstly establish inequalities for functions whose high degree derivatives are convex via an equality which was presented previously. Then we derive inequalities for functions whose high-order derivatives are absolutely continuous by using the same equality. In addition, we examine connections between inequalities obtained in earlier works and our results. Finally, some estimates of composite quadrature rules are given.

### MSC:

26D10 | Inequalities involving derivatives and differential and integral operators |

26A45 | Functions of bounded variation, generalizations |

26D15 | Inequalities for sums, series and integrals |

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\textit{S. Erden} and \textit{M. Z. Sarikaya}, J. Appl. Anal. 27, No. 1, 57--64 (2021; Zbl 1473.26017)

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### References:

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