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 varia...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
ITB Journal Publisher
2021-05-01
|
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.
|
---|---|
ISSN: | 2337-5760 2338-5510 |