Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications-Reference-Cited by-同舟云学术

Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications

Published:2020-12-11 Issue:1 Volume:27 Page:57-64
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Erden Samet¹,Sarikaya Mehmet Zeki²

Affiliation:

1. Department of Mathematics , Faculty of Science , Bartın University , Bartın , Turkey

2. Department of Mathematics , Faculty of Science and Arts , Düzce University , Düzce , Turkey

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2030/pdf

Reference20 articles.

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2. H. Budak, M. Z. Sarikaya and S. S. Dragomir, Some perturbed Ostrowski type inequalities for twice-differentiable functions, Advances in Mathematical Inequalities and Applications, Trends Math., Birkhäuser, Singapore (2018), 279–294.

3. P. Cerone, S. S. Dragomir and J. Roumeliotis, Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstr. Math. 32 (1999), no. 4, 697–712.

4. S. S. Dragomir, Some perturbed Ostrowski type inequalities for absolutely continuous functions (I), Acta Univ. M. Belii Ser. Math. 23 (2015), 71–86.

5. S. S. Dragomir, Some perturbed Ostrowski type inequalities for absolutely continuous functions (II), RGMIA Res. Rep. Collect. 16 (2015), Article ID 93.

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1. Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications;Journal of Applied Analysis;2020-12-11