Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means of positive real numbers are also given.
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/809689 |
| Summary: | The author establish several Hermite-Hadamard and Simpson-like
type inequalities for mappings whose first derivative in absolute value aroused
to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means
of positive real numbers are also given. |
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| ISSN: | 0161-1712 1687-0425 |