Sharp trapezoid and mid-point type inequalities on closed balls in R 3 $\mathbb{R}^{3}$
Abstract This paper deals with some trapezoid and mid-point type inequalities on closed balls in R 3 $\mathbb{R}^{3}$ . Three kinds of functions are considered: convex, Lipschitz, and bounded functions. The spherical coordinates are used to obtain sharp inequalities. Also a reverse result is given f...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02377-x |