q-Hermite–Hadamard Inequalities for Generalized Exponentially s,m;η-Preinvex Functions
In this article, we introduce a new extension of classical convexity which is called generalized exponentially s,m;η-preinvex functions. Also, it is seen that the new definition of generalized exponentially s,m;η-preinvex functions describes different new classes as special cases. To prove our main...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5577340 |
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| Summary: | In this article, we introduce a new extension of classical convexity which is called generalized exponentially s,m;η-preinvex functions. Also, it is seen that the new definition of generalized exponentially s,m;η-preinvex functions describes different new classes as special cases. To prove our main results, we derive a new qmκ2-integral identity for the twice qmκ2-differentiable function. By using this identity, we show essential new results for Hermite–Hadamard-type inequalities for the qmκ2-integral by utilizing differentiable exponentially s,m;η-preinvex functions. The results presented in this article are unification and generalization of the comparable results in the literature. |
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| ISSN: | 2314-4629 2314-4785 |