| Autor: |
Cristescu Gabriela, Găianu Mihail, Muhammad Uzair Awan |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 53, Iss 1, Pp 19-35 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
1841-3307 |
| DOI: |
10.1515/awutm-2015-0002 |
| Popis: |
The class of (k; h1; h2)-convex functions is introduced, together with some particular classes of corresponding generalized convex dominated functions. Few regularity properties of (k; h1; h2)-convex functions are proved by means of Bernstein-Doetsch type results. Also we find conditions in which every local minimizer of a (k; h1; h2)-convex function is global. Classes of (k; h1; h2)-convex functions, which allow integral upper bounds of Hermite-Hadamard type, are identified. Hermite-Hadamard type inequalities are also obtained in a particular class of the (k; h1; h2)- convex dominated functions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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