Some Fractional Inequalities of Ostrowski-Type and related Applications

Authors

Miguel Vivas-Cortez, Physical and Mathematics Science School, Natural and Exact Science Faculty, Pontifical Catholic University of Ecuador, Quito, EcuadorFollow
Muhammad Shoaib Saleem, Department of Mathematics, University of Okara, Punjab, PakistanFollow
Sana Sajid, Department of Mathematics, University of Okara, Punjab, PakistanFollow

Author Country (or Countries)

Ecuador

Abstract

A significant area in the region of pure and applied mathematics is the integral inequality. As it is well-known, inequalities objective to establish various mathematical methods. Today, we need to pursue exact inequalities to demonstrate the uniqueness and existence of mathematical methods. In the present research, we will develop some Ostrowski-type inequalities for the strongly quasi-convex function. We also establish some fractional weighted Ostrowski-type inequalities for differentiable strongly quasi-convex function. The remarks at the end of the results are also given. In order to show the effectiveness of our results, we present some applications to special means. The derived results generalize and refine some well-known results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160401

Recommended Citation

Vivas-Cortez, Miguel; Shoaib Saleem, Muhammad; and Sajid, Sana (2022) "Some Fractional Inequalities of Ostrowski-Type and related Applications," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 1.
DOI: http://dx.doi.org/10.18576/amis/160401
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/1