| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622517 | Journal of Mathematical Analysis and Applications | 2007 | 11 Pages |
Abstract
The paper deals with the asymptotic behaviour of the differential mean value of divided differences as the interval shrinks to zero by presenting an asymptotic expansion. The coefficients are given by a recurrence formula. For a wide class of analytic functions the differential mean value can be represented by a convergent sum. Our results generalize two recent theorems by Powers, Riedel and Sahoo [R.C. Powers, T. Riedel, P.K. Sahoo, Limit properties of differential mean values, J. Math. Anal. Appl. 227 (1998) 216–226].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
