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: |
Wiley
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 |
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| _version_ | 1832556321191231488 |
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| author | Jaekeun Park |
| author_facet | Jaekeun Park |
| author_sort | Jaekeun Park |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-27682b01b1c04fd7b66c1790ece5c396 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-27682b01b1c04fd7b66c1790ece5c3962025-02-03T05:45:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/809689809689Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex MappingsJaekeun Park0Department of Mathematics, Hanseo University, Chungnam-do, Seosan-si 356-706, Republic of KoreaThe 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.http://dx.doi.org/10.1155/2012/809689 |
| spellingShingle | Jaekeun Park Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings International Journal of Mathematics and Mathematical Sciences |
| title | Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings |
| title_full | Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings |
| title_fullStr | Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings |
| title_full_unstemmed | Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings |
| title_short | Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings |
| title_sort | hermite hadamard and simpson like type inequalities for differentiable 𝛼 𝑚 convex mappings |
| url | http://dx.doi.org/10.1155/2012/809689 |
| work_keys_str_mv | AT jaekeunpark hermitehadamardandsimpsonliketypeinequalitiesfordifferentiableαmconvexmappings |