Summability of alterations of convergent series
The effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ−ℓ and cs−cs matrix methods is studied. Conditions are determined that guarantee the existence of alterations that are transformed into divergent series and into series with preassig...
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| Format: | Article |
| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000392 |
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| _version_ | 1849401134524923904 |
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| author | T. A. Keagy |
| author_facet | T. A. Keagy |
| author_sort | T. A. Keagy |
| collection | DOAJ |
| description | The effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ−ℓ and cs−cs matrix methods is studied. Conditions are determined that guarantee the existence of alterations that are transformed into divergent series and into series with preassigned sums. |
| format | Article |
| id | doaj-art-8a659cfb5b2c48b88c7c0c0ef94c2466 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8a659cfb5b2c48b88c7c0c0ef94c24662025-08-20T03:37:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014354355210.1155/S0161171281000392Summability of alterations of convergent seriesT. A. Keagy0Mathematics Department, University of Texas at Tyler, Tyler 75701, Texas, USAThe effect of splitting, rearrangement, and grouping series alterations on the summability of a convergent series by ℓ−ℓ and cs−cs matrix methods is studied. Conditions are determined that guarantee the existence of alterations that are transformed into divergent series and into series with preassigned sums.http://dx.doi.org/10.1155/S0161171281000392ℓ−ℓ methodcs−cs methodrearrangementsplitting. |
| spellingShingle | T. A. Keagy Summability of alterations of convergent series International Journal of Mathematics and Mathematical Sciences ℓ−ℓ method cs−cs method rearrangement splitting. |
| title | Summability of alterations of convergent series |
| title_full | Summability of alterations of convergent series |
| title_fullStr | Summability of alterations of convergent series |
| title_full_unstemmed | Summability of alterations of convergent series |
| title_short | Summability of alterations of convergent series |
| title_sort | summability of alterations of convergent series |
| topic | ℓ−ℓ method cs−cs method rearrangement splitting. |
| url | http://dx.doi.org/10.1155/S0161171281000392 |
| work_keys_str_mv | AT takeagy summabilityofalterationsofconvergentseries |