Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions
In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly m-convex, strongly s-convex, strongl...
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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/10.1155/2021/2555974 |
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| Summary: | In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly m-convex, strongly s-convex, strongly α,m-convex, strongly s,m-convex, strongly h−m-convex, strongly α,h−m-convex, strongly exponentially convex, strongly exponentially m-convex, strongly exponentially s-convex, strongly exponentially s,m-convex, strongly exponentially h−m-convex, and exponentially α,h−m-convex functions. The error estimations are also studied by applying two fractional integral identities. |
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| ISSN: | 2314-4629 2314-4785 |