A GENERALIZATION OF SIMPSON TYPE INEQUALITY VIA DIFFERENTIABLE FUNCTIONS USING (s,m)-CONVEX FUNCTIONS
Keywords:
Simpson’s inequality, H¨oder inequality, (s, m)-convex functionAbstract
We derive a differentiable mapping integral identity, which is involved with two parameters. By using this result, we establish new inequalities of Simpson type based on (s,m)-convexity for differentiable mappings. This contributes to new better estimates than the earlier results. Finally, some applications to special means of positive real numbers have also been presented.
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Published
2015-12-31
How to Cite
Yang, Z., Li, Y., & Du, T. (2015). A GENERALIZATION OF SIMPSON TYPE INEQUALITY VIA DIFFERENTIABLE FUNCTIONS USING (s,m)-CONVEX FUNCTIONS. Italian Journal of Pure and Applied Mathematics, 35, 327–338. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6428
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Section
Articoli - Forum Editrice
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Copyright (c) 2015 Zhiqiao Yang, Yujiao Li, 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)
