An Inequality of Simpson's type Via Quasi-Convex Mappings with Applications

Mohammad Alomari

doi:10.55059/ijm.2022.1.1/1

An Inequality of Simpson's type Via Quasi-Convex Mappings with Applications

Authors

Mohammad Alomari Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid https://orcid.org/0000-0002-6696-9119

DOI:

https://doi.org/10.55059/ijm.2022.1.1/1

Keywords:

Simpson's inequality, bounded variation, quasi-convex

Abstract

In this paper, an inequality of Simpson type for quasi-convex mappings is proved. The constant in the classical Simpson's inequality is improved. Furthermore, the obtained bounds can be (much) better than some recent obtained bounds. Application to Simpson's quadrature rule is also given.

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Published

2022-01-14

How to Cite

Alomari, M. (2022). An Inequality of Simpson’s type Via Quasi-Convex Mappings with Applications. Innovative Journal of Mathematics (IJM), 1(1), 45–51. https://doi.org/10.55059/ijm.2022.1.1/1