RIEMANN-LIOUVILLE FRACTIONAL SIMPSON’S INEQUALITIES THROUGH GENERALIZED (m, h1, h2)-PREINVEXITY
Keywords:
Simpson's inequality, generalized (m; h1; h2)-preinvex functions, Riemann- Liouville fractional integralsAbstract
The authors first introduce the concept of generalized (m, h1, h2)-preinvex function. Second, a new Riemann-Liouville fractional integral identity involving first order differentiable function on an m-invex is found. By using this identity, we present new Riemann-Liouville fractional Simpson’s inequalities through generalized (m, h1, h2)-preinvexity. These inequalities can be viewed as significant generalization of some previously known results.
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Published
2017-07-31
How to Cite
Peng, C., Zhou, C., & Du, T. (2017). RIEMANN-LIOUVILLE FRACTIONAL SIMPSON’S INEQUALITIES THROUGH GENERALIZED (m, h1, h2)-PREINVEXITY. Italian Journal of Pure and Applied Mathematics, 37, 345–367. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6796
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Articoli - Forum Editrice
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Copyright (c) 2017 Cheng Peng, Chang Zhou, Tingsong Du
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
