New fractional inequalities of midpoint type via s-convexity and their application
In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special m...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
BioMed Central
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf http://psasir.upm.edu.my/id/eprint/81468/ https://link.springer.com/article/10.1186/s13660-019-2215-3 |
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| Summary: | In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula. |
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