Exponential Convex Functions with Respect to $s$
In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709698_78f718b92f6601439e91086bf4cb33d4.pdf |
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| Summary: | In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to $s$. Our results coincide with the results obtained previously in special cases. |
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| ISSN: | 2322-5807 2423-3900 |