Ostrowski and Simpson type inequalities for multiplicative integrals

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-4136

Keywords:

Ostrowski inequality, Simpson inequality, Multiplicatively convex function, Multiplicative calculus, Integral inequalities

Abstract

In this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, we establish Ostrowski and Simpson type inequalities for multiplicative integrals. At the end we give detail applications of our main results.

Author Biographies

Muhammad Aamir Ali, Nanjing Normal University.

Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences.

Dr. Hüseyin Budak, Düzce University.

Department of Mathematics, Faculty of Science and Arts, 

Dr. Mehmet Zeki Sarikaya, Düzce University.

Department of Mathematics, Faculty of Science and Arts.

Dr. Zhiyue Zhang, Nanjing Normal University.

Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences.

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Published

2021-05-18

How to Cite

[1]
M. A. Ali, H. Budak, M. Z. Sarikaya, and Z. Zhang, “Ostrowski and Simpson type inequalities for multiplicative integrals”, Proyecciones (Antofagasta, On line), vol. 40, no. 3, pp. 743-763, May 2021.

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