Abstract
n this paper we define an absolute summability by a series-to-sequence transfor mation matrix. We obtain tbe necessary and sufficient conditions in order that every absolutely convergent series is absolutely summable by series-to-sequence transfor mation matrix. For this we find new classes of matrices-conservative series-to-sequence transformation matrices and regular series-to-sequence transformation matrices.
We study the relation of these two new classes of matrices with K, p,T and y-matrices.
Finally we prove that the absolute summability of an absolutely convergent series by a matrix and the generalized limit of its absolute partial sum are equal under the suitable relation between the two matrices.
References
- Communications, Series A2-A3: Physical Sciences and Engineering
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | January 1, 1974 |
| Submission Date | January 1, 1974 |
| Published in Issue | Year 1974 Volume: 23 |
Cite
Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering licensed under a Creative Commons Attribution 4.0 International License.
