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Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | Wenbing Sun Rui Xu |
| Abstract | In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities. |
| Related Links | https://www.aimspress.com/article/doi/10.3934/math.2021620?viewType=HTML |
| e-ISSN | 24736988 |
| DOI | 10.3934/math.2021620 |
| Journal | AIMS Mathematics |
| Issue Number | 10 |
| Volume Number | 6 |
| Language | English |
| Publisher | AIMS Press |
| Publisher Date | 2021-01-01 |
| Publisher Place | United States |
| Access Restriction | Open |
| Subject Keyword | Mathematics Hermite-hadamard Type Inequality Generalized Harmonically Convex Function Yang's Fractal Sets Local Fractional Integral |
| Content Type | Text |
| Resource Type | Article |
