Some Remarks on Results Related to ∇-Convex Function
In the present article, we give new techniques for proving general identities of the Popoviciu type for discrete cases of sums for two dimensions using higher-order ∇-divided difference. Also, integral cases are deduced by different methods for differentiable functions of higher-order for two variab...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
ITB Journal Publisher
2021-05-01
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| Series: | Journal of Mathematical and Fundamental Sciences |
| Subjects: | |
| Online Access: | https://journals.itb.ac.id/index.php/jmfs/article/view/9061 |
| Summary: | In the present article, we give new techniques for proving general identities of the Popoviciu type for discrete cases of sums for two dimensions using higher-order ∇-divided difference. Also, integral cases are deduced by different methods for differentiable functions of higher-order for two variables. These identities are a generalization of various previously established results. An application for the mean value theorem is also presented. |
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| ISSN: | 2337-5760 2338-5510 |